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Finding the Fourth Proportional to 20,564.20, 30,838.92 and 7,413.04

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Solution

The fourth proportional to 20,564.20, 30,838.92 and 7,413.04 is: 11,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.20 : 30,838.92 = 7,413.04 : x
  2. Step 2: Convert to fraction form
    20,564.20/30,838.92 = 7,413.04/x
  3. Step 3: Cross multiply
    20,564.20x = 30,838.92 × 7,413.04
  4. Step 4: Simplify right side
    20,564.20x = 228,610,147.52
  5. Step 5: Solve for x
    x = 228,610,147.52/20,564.20
  6. Step 6: Final answer
    x = 11,116.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.