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Finding the Fourth Proportional to 24,642, 34,006.80 and 13,464.72

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Solution

The fourth proportional to 24,642, 34,006.80 and 13,464.72 is: 18,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 34,006.80 = 13,464.72 : x
  2. Step 2: Convert to fraction form
    24,642/34,006.80 = 13,464.72/x
  3. Step 3: Cross multiply
    24,642x = 34,006.80 × 13,464.72
  4. Step 4: Simplify right side
    24,642x = 457,892,040.10
  5. Step 5: Solve for x
    x = 457,892,040.10/24,642
  6. Step 6: Final answer
    x = 18,581.77

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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.