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Finding the Fourth Proportional to 22,494.80, 33,737.72 and 7,702.48

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Solution

The fourth proportional to 22,494.80, 33,737.72 and 7,702.48 is: 11,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.80 : 33,737.72 = 7,702.48 : x
  2. Step 2: Convert to fraction form
    22,494.80/33,737.72 = 7,702.48/x
  3. Step 3: Cross multiply
    22,494.80x = 33,737.72 × 7,702.48
  4. Step 4: Simplify right side
    22,494.80x = 259,864,113.55
  5. Step 5: Solve for x
    x = 259,864,113.55/22,494.80
  6. Step 6: Final answer
    x = 11,552.19

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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.