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Finding the Fourth Proportional to 17,677.25, 24,394.61 and 9,720.02

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Solution

The fourth proportional to 17,677.25, 24,394.61 and 9,720.02 is: 13,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.25 : 24,394.61 = 9,720.02 : x
  2. Step 2: Convert to fraction form
    17,677.25/24,394.61 = 9,720.02/x
  3. Step 3: Cross multiply
    17,677.25x = 24,394.61 × 9,720.02
  4. Step 4: Simplify right side
    17,677.25x = 237,115,999.42
  5. Step 5: Solve for x
    x = 237,115,999.42/17,677.25
  6. Step 6: Final answer
    x = 13,413.62

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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.