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Finding the Fourth Proportional to 22,557.61, 33,838.17 and 9,413.74

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Solution

The fourth proportional to 22,557.61, 33,838.17 and 9,413.74 is: 14,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,557.61 : 33,838.17 = 9,413.74 : x
  2. Step 2: Convert to fraction form
    22,557.61/33,838.17 = 9,413.74/x
  3. Step 3: Cross multiply
    22,557.61x = 33,838.17 × 9,413.74
  4. Step 4: Simplify right side
    22,557.61x = 318,543,734.46
  5. Step 5: Solve for x
    x = 318,543,734.46/22,557.61
  6. Step 6: Final answer
    x = 14,121.34

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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.