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Finding the Fourth Proportional to 24,741.54, 34,143.37 and 13,411.04

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Solution

The fourth proportional to 24,741.54, 34,143.37 and 13,411.04 is: 18,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.54 : 34,143.37 = 13,411.04 : x
  2. Step 2: Convert to fraction form
    24,741.54/34,143.37 = 13,411.04/x
  3. Step 3: Cross multiply
    24,741.54x = 34,143.37 × 13,411.04
  4. Step 4: Simplify right side
    24,741.54x = 457,897,896.56
  5. Step 5: Solve for x
    x = 457,897,896.56/24,741.54
  6. Step 6: Final answer
    x = 18,507.25

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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.