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Finding the Fourth Proportional to 17,686.76, 24,411.19 and 10,138.15

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Solution

The fourth proportional to 17,686.76, 24,411.19 and 10,138.15 is: 13,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.76 : 24,411.19 = 10,138.15 : x
  2. Step 2: Convert to fraction form
    17,686.76/24,411.19 = 10,138.15/x
  3. Step 3: Cross multiply
    17,686.76x = 24,411.19 × 10,138.15
  4. Step 4: Simplify right side
    17,686.76x = 247,484,305.90
  5. Step 5: Solve for x
    x = 247,484,305.90/17,686.76
  6. Step 6: Final answer
    x = 13,992.63

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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.