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Finding the Fourth Proportional to 13,478.47, 20,221.37 and 7,639.18

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Solution

The fourth proportional to 13,478.47, 20,221.37 and 7,639.18 is: 11,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.47 : 20,221.37 = 7,639.18 : x
  2. Step 2: Convert to fraction form
    13,478.47/20,221.37 = 7,639.18/x
  3. Step 3: Cross multiply
    13,478.47x = 20,221.37 × 7,639.18
  4. Step 4: Simplify right side
    13,478.47x = 154,474,685.28
  5. Step 5: Solve for x
    x = 154,474,685.28/13,478.47
  6. Step 6: Final answer
    x = 11,460.85

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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.