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Finding the Fourth Proportional to 12,538.46, 18,794.43 and 4,635.90

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Solution

The fourth proportional to 12,538.46, 18,794.43 and 4,635.90 is: 6,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.46 : 18,794.43 = 4,635.90 : x
  2. Step 2: Convert to fraction form
    12,538.46/18,794.43 = 4,635.90/x
  3. Step 3: Cross multiply
    12,538.46x = 18,794.43 × 4,635.90
  4. Step 4: Simplify right side
    12,538.46x = 87,129,098.04
  5. Step 5: Solve for x
    x = 87,129,098.04/12,538.46
  6. Step 6: Final answer
    x = 6,948.95

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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.