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Finding the Fourth Proportional to 24,784,134.32, 34,201,994.64 and 13,772,676.80

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Solution

The fourth proportional to 24,784,134.32, 34,201,994.64 and 13,772,676.80 is: 19,006,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784,134.32 : 34,201,994.64 = 13,772,676.80 : x
  2. Step 2: Convert to fraction form
    24,784,134.32/34,201,994.64 = 13,772,676.80/x
  3. Step 3: Cross multiply
    24,784,134.32x = 34,201,994.64 × 13,772,676.80
  4. Step 4: Simplify right side
    24,784,134.32x = 471,053,018,092,052.38
  5. Step 5: Solve for x
    x = 471,053,018,092,052.38/24,784,134.32
  6. Step 6: Final answer
    x = 19,006,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.