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Finding the Fourth Proportional to 12,098.49, 18,154.74 and 5,077.88

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Solution

The fourth proportional to 12,098.49, 18,154.74 and 5,077.88 is: 7,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.49 : 18,154.74 = 5,077.88 : x
  2. Step 2: Convert to fraction form
    12,098.49/18,154.74 = 5,077.88/x
  3. Step 3: Cross multiply
    12,098.49x = 18,154.74 × 5,077.88
  4. Step 4: Simplify right side
    12,098.49x = 92,187,500.38
  5. Step 5: Solve for x
    x = 92,187,500.38/12,098.49
  6. Step 6: Final answer
    x = 7,619.75

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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.