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Finding the Fourth Proportional to 19,820.20, 29,730.30 and 15,413.80

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Solution

The fourth proportional to 19,820.20, 29,730.30 and 15,413.80 is: 23,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.20 : 29,730.30 = 15,413.80 : x
  2. Step 2: Convert to fraction form
    19,820.20/29,730.30 = 15,413.80/x
  3. Step 3: Cross multiply
    19,820.20x = 29,730.30 × 15,413.80
  4. Step 4: Simplify right side
    19,820.20x = 458,256,898.14
  5. Step 5: Solve for x
    x = 458,256,898.14/19,820.20
  6. Step 6: Final answer
    x = 23,120.70

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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.