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Finding the Fourth Proportional to 22,378.83, 33,565.51 and 9,229.49

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Solution

The fourth proportional to 22,378.83, 33,565.51 and 9,229.49 is: 13,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.83 : 33,565.51 = 9,229.49 : x
  2. Step 2: Convert to fraction form
    22,378.83/33,565.51 = 9,229.49/x
  3. Step 3: Cross multiply
    22,378.83x = 33,565.51 × 9,229.49
  4. Step 4: Simplify right side
    22,378.83x = 309,792,538.89
  5. Step 5: Solve for x
    x = 309,792,538.89/22,378.83
  6. Step 6: Final answer
    x = 13,843.11

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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.