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Finding the Fourth Proportional to 25,720.72, 35,493.24 and 14,542

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Solution

The fourth proportional to 25,720.72, 35,493.24 and 14,542 is: 20,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.72 : 35,493.24 = 14,542 : x
  2. Step 2: Convert to fraction form
    25,720.72/35,493.24 = 14,542/x
  3. Step 3: Cross multiply
    25,720.72x = 35,493.24 × 14,542
  4. Step 4: Simplify right side
    25,720.72x = 516,142,696.08
  5. Step 5: Solve for x
    x = 516,142,696.08/25,720.72
  6. Step 6: Final answer
    x = 20,067.19

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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.