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Finding the Fourth Proportional to 17,695.71, 24,411.92 and 11,410.11

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Solution

The fourth proportional to 17,695.71, 24,411.92 and 11,410.11 is: 15,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.71 : 24,411.92 = 11,410.11 : x
  2. Step 2: Convert to fraction form
    17,695.71/24,411.92 = 11,410.11/x
  3. Step 3: Cross multiply
    17,695.71x = 24,411.92 × 11,410.11
  4. Step 4: Simplify right side
    17,695.71x = 278,542,635.46
  5. Step 5: Solve for x
    x = 278,542,635.46/17,695.71
  6. Step 6: Final answer
    x = 15,740.69

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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.