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Finding the Fourth Proportional to 22,773.20, 34,159.80 and 9,640.40

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Solution

The fourth proportional to 22,773.20, 34,159.80 and 9,640.40 is: 14,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.20 : 34,159.80 = 9,640.40 : x
  2. Step 2: Convert to fraction form
    22,773.20/34,159.80 = 9,640.40/x
  3. Step 3: Cross multiply
    22,773.20x = 34,159.80 × 9,640.40
  4. Step 4: Simplify right side
    22,773.20x = 329,314,135.92
  5. Step 5: Solve for x
    x = 329,314,135.92/22,773.20
  6. Step 6: Final answer
    x = 14,460.60

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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.