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Finding the Fourth Proportional to 24,299.76, 36,435.24 and 8,497.20

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Solution

The fourth proportional to 24,299.76, 36,435.24 and 8,497.20 is: 12,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.76 : 36,435.24 = 8,497.20 : x
  2. Step 2: Convert to fraction form
    24,299.76/36,435.24 = 8,497.20/x
  3. Step 3: Cross multiply
    24,299.76x = 36,435.24 × 8,497.20
  4. Step 4: Simplify right side
    24,299.76x = 309,597,521.33
  5. Step 5: Solve for x
    x = 309,597,521.33/24,299.76
  6. Step 6: Final answer
    x = 12,740.76

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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.