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Finding the Fourth Proportional to 24,289.60, 36,431.34 and 6,760.78

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Solution

The fourth proportional to 24,289.60, 36,431.34 and 6,760.78 is: 10,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.60 : 36,431.34 = 6,760.78 : x
  2. Step 2: Convert to fraction form
    24,289.60/36,431.34 = 6,760.78/x
  3. Step 3: Cross multiply
    24,289.60x = 36,431.34 × 6,760.78
  4. Step 4: Simplify right side
    24,289.60x = 246,304,274.85
  5. Step 5: Solve for x
    x = 246,304,274.85/24,289.60
  6. Step 6: Final answer
    x = 10,140.32

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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.