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Finding the Fourth Proportional to 15,338.80, 23,008.20 and 5,478.40

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Solution

The fourth proportional to 15,338.80, 23,008.20 and 5,478.40 is: 8,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.80 : 23,008.20 = 5,478.40 : x
  2. Step 2: Convert to fraction form
    15,338.80/23,008.20 = 5,478.40/x
  3. Step 3: Cross multiply
    15,338.80x = 23,008.20 × 5,478.40
  4. Step 4: Simplify right side
    15,338.80x = 126,048,122.88
  5. Step 5: Solve for x
    x = 126,048,122.88/15,338.80
  6. Step 6: Final answer
    x = 8,217.60

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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.