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Finding the Fourth Proportional to 12,157.15, 18,242.90 and 5,136.71

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Solution

The fourth proportional to 12,157.15, 18,242.90 and 5,136.71 is: 7,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.15 : 18,242.90 = 5,136.71 : x
  2. Step 2: Convert to fraction form
    12,157.15/18,242.90 = 5,136.71/x
  3. Step 3: Cross multiply
    12,157.15x = 18,242.90 × 5,136.71
  4. Step 4: Simplify right side
    12,157.15x = 93,708,369.96
  5. Step 5: Solve for x
    x = 93,708,369.96/12,157.15
  6. Step 6: Final answer
    x = 7,708.09

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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.