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Finding the Fourth Proportional to 12,158.40, 18,224.82 and 5,136.96

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Solution

The fourth proportional to 12,158.40, 18,224.82 and 5,136.96 is: 7,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.40 : 18,224.82 = 5,136.96 : x
  2. Step 2: Convert to fraction form
    12,158.40/18,224.82 = 5,136.96/x
  3. Step 3: Cross multiply
    12,158.40x = 18,224.82 × 5,136.96
  4. Step 4: Simplify right side
    12,158.40x = 93,620,171.35
  5. Step 5: Solve for x
    x = 93,620,171.35/12,158.40
  6. Step 6: Final answer
    x = 7,700.04

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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.