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Finding the Fourth Proportional to 22,704.64, 34,046.42 and 12,566.20

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Solution

The fourth proportional to 22,704.64, 34,046.42 and 12,566.20 is: 18,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.64 : 34,046.42 = 12,566.20 : x
  2. Step 2: Convert to fraction form
    22,704.64/34,046.42 = 12,566.20/x
  3. Step 3: Cross multiply
    22,704.64x = 34,046.42 × 12,566.20
  4. Step 4: Simplify right side
    22,704.64x = 427,834,123.00
  5. Step 5: Solve for x
    x = 427,834,123.00/22,704.64
  6. Step 6: Final answer
    x = 18,843.47

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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.