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Finding the Fourth Proportional to 24,720.71, 34,120.68 and 14,116.49

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Solution

The fourth proportional to 24,720.71, 34,120.68 and 14,116.49 is: 19,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.71 : 34,120.68 = 14,116.49 : x
  2. Step 2: Convert to fraction form
    24,720.71/34,120.68 = 14,116.49/x
  3. Step 3: Cross multiply
    24,720.71x = 34,120.68 × 14,116.49
  4. Step 4: Simplify right side
    24,720.71x = 481,664,238.01
  5. Step 5: Solve for x
    x = 481,664,238.01/24,720.71
  6. Step 6: Final answer
    x = 19,484.24

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