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Finding the Fourth Proportional to 23,249.60, 34,874.40 and 7,666.40

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Solution

The fourth proportional to 23,249.60, 34,874.40 and 7,666.40 is: 11,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.60 : 34,874.40 = 7,666.40 : x
  2. Step 2: Convert to fraction form
    23,249.60/34,874.40 = 7,666.40/x
  3. Step 3: Cross multiply
    23,249.60x = 34,874.40 × 7,666.40
  4. Step 4: Simplify right side
    23,249.60x = 267,361,100.16
  5. Step 5: Solve for x
    x = 267,361,100.16/23,249.60
  6. Step 6: Final answer
    x = 11,499.60

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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.