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Finding the Fourth Proportional to 22,097.34, 33,160.59 and 10,413.90

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Solution

The fourth proportional to 22,097.34, 33,160.59 and 10,413.90 is: 15,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.34 : 33,160.59 = 10,413.90 : x
  2. Step 2: Convert to fraction form
    22,097.34/33,160.59 = 10,413.90/x
  3. Step 3: Cross multiply
    22,097.34x = 33,160.59 × 10,413.90
  4. Step 4: Simplify right side
    22,097.34x = 345,331,068.20
  5. Step 5: Solve for x
    x = 345,331,068.20/22,097.34
  6. Step 6: Final answer
    x = 15,627.72

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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.