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Finding the Fourth Proportional to 22,766.36, 34,153.08 and 9,618.80

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Solution

The fourth proportional to 22,766.36, 34,153.08 and 9,618.80 is: 14,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,766.36 : 34,153.08 = 9,618.80 : x
  2. Step 2: Convert to fraction form
    22,766.36/34,153.08 = 9,618.80/x
  3. Step 3: Cross multiply
    22,766.36x = 34,153.08 × 9,618.80
  4. Step 4: Simplify right side
    22,766.36x = 328,511,645.90
  5. Step 5: Solve for x
    x = 328,511,645.90/22,766.36
  6. Step 6: Final answer
    x = 14,429.70

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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.