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Finding the Fourth Proportional to 15,338.74, 23,009.70 and 5,478.88

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Solution

The fourth proportional to 15,338.74, 23,009.70 and 5,478.88 is: 8,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.74 : 23,009.70 = 5,478.88 : x
  2. Step 2: Convert to fraction form
    15,338.74/23,009.70 = 5,478.88/x
  3. Step 3: Cross multiply
    15,338.74x = 23,009.70 × 5,478.88
  4. Step 4: Simplify right side
    15,338.74x = 126,067,385.14
  5. Step 5: Solve for x
    x = 126,067,385.14/15,338.74
  6. Step 6: Final answer
    x = 8,218.89

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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.