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Finding the Fourth Proportional to 13,478.10, 20,217.15 and 7,646.10

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Solution

The fourth proportional to 13,478.10, 20,217.15 and 7,646.10 is: 11,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.10 : 20,217.15 = 7,646.10 : x
  2. Step 2: Convert to fraction form
    13,478.10/20,217.15 = 7,646.10/x
  3. Step 3: Cross multiply
    13,478.10x = 20,217.15 × 7,646.10
  4. Step 4: Simplify right side
    13,478.10x = 154,582,350.62
  5. Step 5: Solve for x
    x = 154,582,350.62/13,478.10
  6. Step 6: Final answer
    x = 11,469.15

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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.