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Finding the Fourth Proportional to 24,431.60, 36,640.20 and 9,635.60

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Solution

The fourth proportional to 24,431.60, 36,640.20 and 9,635.60 is: 14,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.60 : 36,640.20 = 9,635.60 : x
  2. Step 2: Convert to fraction form
    24,431.60/36,640.20 = 9,635.60/x
  3. Step 3: Cross multiply
    24,431.60x = 36,640.20 × 9,635.60
  4. Step 4: Simplify right side
    24,431.60x = 353,050,311.12
  5. Step 5: Solve for x
    x = 353,050,311.12/24,431.60
  6. Step 6: Final answer
    x = 14,450.56

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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.