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Finding the Fourth Proportional to 17,691.40, 24,413.16 and 9,732.21

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Solution

The fourth proportional to 17,691.40, 24,413.16 and 9,732.21 is: 13,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.40 : 24,413.16 = 9,732.21 : x
  2. Step 2: Convert to fraction form
    17,691.40/24,413.16 = 9,732.21/x
  3. Step 3: Cross multiply
    17,691.40x = 24,413.16 × 9,732.21
  4. Step 4: Simplify right side
    17,691.40x = 237,593,999.88
  5. Step 5: Solve for x
    x = 237,593,999.88/17,691.40
  6. Step 6: Final answer
    x = 13,429.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.