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Finding the Fourth Proportional to 22,743.60, 34,115.40 and 11,646.60

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Solution

The fourth proportional to 22,743.60, 34,115.40 and 11,646.60 is: 17,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743.60 : 34,115.40 = 11,646.60 : x
  2. Step 2: Convert to fraction form
    22,743.60/34,115.40 = 11,646.60/x
  3. Step 3: Cross multiply
    22,743.60x = 34,115.40 × 11,646.60
  4. Step 4: Simplify right side
    22,743.60x = 397,328,417.64
  5. Step 5: Solve for x
    x = 397,328,417.64/22,743.60
  6. Step 6: Final answer
    x = 17,469.90

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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.