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Finding the Fourth Proportional to 17,677.62, 24,395.04 and 9,720.27

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Solution

The fourth proportional to 17,677.62, 24,395.04 and 9,720.27 is: 13,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.62 : 24,395.04 = 9,720.27 : x
  2. Step 2: Convert to fraction form
    17,677.62/24,395.04 = 9,720.27/x
  3. Step 3: Cross multiply
    17,677.62x = 24,395.04 × 9,720.27
  4. Step 4: Simplify right side
    17,677.62x = 237,126,375.46
  5. Step 5: Solve for x
    x = 237,126,375.46/17,677.62
  6. Step 6: Final answer
    x = 13,413.93

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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.