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Finding the Fourth Proportional to 26,538.14, 39,793.50 and 7,815.76

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Solution

The fourth proportional to 26,538.14, 39,793.50 and 7,815.76 is: 11,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.14 : 39,793.50 = 7,815.76 : x
  2. Step 2: Convert to fraction form
    26,538.14/39,793.50 = 7,815.76/x
  3. Step 3: Cross multiply
    26,538.14x = 39,793.50 × 7,815.76
  4. Step 4: Simplify right side
    26,538.14x = 311,016,346.08
  5. Step 5: Solve for x
    x = 311,016,346.08/26,538.14
  6. Step 6: Final answer
    x = 11,719.60

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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.