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Finding the Fourth Proportional to 17,677.50, 24,394.96 and 9,720.27

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Solution

The fourth proportional to 17,677.50, 24,394.96 and 9,720.27 is: 13,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.50 : 24,394.96 = 9,720.27 : x
  2. Step 2: Convert to fraction form
    17,677.50/24,394.96 = 9,720.27/x
  3. Step 3: Cross multiply
    17,677.50x = 24,394.96 × 9,720.27
  4. Step 4: Simplify right side
    17,677.50x = 237,125,597.84
  5. Step 5: Solve for x
    x = 237,125,597.84/17,677.50
  6. Step 6: Final answer
    x = 13,413.98

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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.