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Finding the Fourth Proportional to 24,741.97, 34,143.79 and 13,411.42

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Solution

The fourth proportional to 24,741.97, 34,143.79 and 13,411.42 is: 18,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.97 : 34,143.79 = 13,411.42 : x
  2. Step 2: Convert to fraction form
    24,741.97/34,143.79 = 13,411.42/x
  3. Step 3: Cross multiply
    24,741.97x = 34,143.79 × 13,411.42
  4. Step 4: Simplify right side
    24,741.97x = 457,916,470.31
  5. Step 5: Solve for x
    x = 457,916,470.31/24,741.97
  6. Step 6: Final answer
    x = 18,507.68

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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.