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Finding the Fourth Proportional to 17,686.08, 24,406.65 and 10,132.16

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Solution

The fourth proportional to 17,686.08, 24,406.65 and 10,132.16 is: 13,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.08 : 24,406.65 = 10,132.16 : x
  2. Step 2: Convert to fraction form
    17,686.08/24,406.65 = 10,132.16/x
  3. Step 3: Cross multiply
    17,686.08x = 24,406.65 × 10,132.16
  4. Step 4: Simplify right side
    17,686.08x = 247,291,960.83
  5. Step 5: Solve for x
    x = 247,291,960.83/17,686.08
  6. Step 6: Final answer
    x = 13,982.29

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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.