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Finding the Fourth Proportional to 15,462.96, 23,198.76 and 5,082

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Solution

The fourth proportional to 15,462.96, 23,198.76 and 5,082 is: 7,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.96 : 23,198.76 = 5,082 : x
  2. Step 2: Convert to fraction form
    15,462.96/23,198.76 = 5,082/x
  3. Step 3: Cross multiply
    15,462.96x = 23,198.76 × 5,082
  4. Step 4: Simplify right side
    15,462.96x = 117,896,098.32
  5. Step 5: Solve for x
    x = 117,896,098.32/15,462.96
  6. Step 6: Final answer
    x = 7,624.42

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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.