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Finding the Fourth Proportional to 24,741.60, 34,143.52 and 13,411.28

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Solution

The fourth proportional to 24,741.60, 34,143.52 and 13,411.28 is: 18,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.60 : 34,143.52 = 13,411.28 : x
  2. Step 2: Convert to fraction form
    24,741.60/34,143.52 = 13,411.28/x
  3. Step 3: Cross multiply
    24,741.60x = 34,143.52 × 13,411.28
  4. Step 4: Simplify right side
    24,741.60x = 457,908,306.91
  5. Step 5: Solve for x
    x = 457,908,306.91/24,741.60
  6. Step 6: Final answer
    x = 18,507.63

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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.