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Finding the Fourth Proportional to 22,688.20, 34,008.90 and 10,214.20

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Solution

The fourth proportional to 22,688.20, 34,008.90 and 10,214.20 is: 15,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.20 : 34,008.90 = 10,214.20 : x
  2. Step 2: Convert to fraction form
    22,688.20/34,008.90 = 10,214.20/x
  3. Step 3: Cross multiply
    22,688.20x = 34,008.90 × 10,214.20
  4. Step 4: Simplify right side
    22,688.20x = 347,373,706.38
  5. Step 5: Solve for x
    x = 347,373,706.38/22,688.20
  6. Step 6: Final answer
    x = 15,310.77

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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.