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Finding the Fourth Proportional to 24,661.32, 37,026.36 and 12,661.88

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Solution

The fourth proportional to 24,661.32, 37,026.36 and 12,661.88 is: 19,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.32 : 37,026.36 = 12,661.88 : x
  2. Step 2: Convert to fraction form
    24,661.32/37,026.36 = 12,661.88/x
  3. Step 3: Cross multiply
    24,661.32x = 37,026.36 × 12,661.88
  4. Step 4: Simplify right side
    24,661.32x = 468,823,327.16
  5. Step 5: Solve for x
    x = 468,823,327.16/24,661.32
  6. Step 6: Final answer
    x = 19,010.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.