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Finding the Fourth Proportional to 15,494, 23,251.88 and 6,731.36

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Solution

The fourth proportional to 15,494, 23,251.88 and 6,731.36 is: 10,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494 : 23,251.88 = 6,731.36 : x
  2. Step 2: Convert to fraction form
    15,494/23,251.88 = 6,731.36/x
  3. Step 3: Cross multiply
    15,494x = 23,251.88 × 6,731.36
  4. Step 4: Simplify right side
    15,494x = 156,516,774.96
  5. Step 5: Solve for x
    x = 156,516,774.96/15,494
  6. Step 6: Final answer
    x = 10,101.77

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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.