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Finding the Fourth Proportional to 22,353.14, 30,847.67 and 12,281.78

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Solution

The fourth proportional to 22,353.14, 30,847.67 and 12,281.78 is: 16,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.14 : 30,847.67 = 12,281.78 : x
  2. Step 2: Convert to fraction form
    22,353.14/30,847.67 = 12,281.78/x
  3. Step 3: Cross multiply
    22,353.14x = 30,847.67 × 12,281.78
  4. Step 4: Simplify right side
    22,353.14x = 378,864,080.81
  5. Step 5: Solve for x
    x = 378,864,080.81/22,353.14
  6. Step 6: Final answer
    x = 16,949.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.