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Finding the Fourth Proportional to 12,399.16, 18,593.66 and 6,156.92

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Solution

The fourth proportional to 12,399.16, 18,593.66 and 6,156.92 is: 9,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.16 : 18,593.66 = 6,156.92 : x
  2. Step 2: Convert to fraction form
    12,399.16/18,593.66 = 6,156.92/x
  3. Step 3: Cross multiply
    12,399.16x = 18,593.66 × 6,156.92
  4. Step 4: Simplify right side
    12,399.16x = 114,479,677.13
  5. Step 5: Solve for x
    x = 114,479,677.13/12,399.16
  6. Step 6: Final answer
    x = 9,232.86

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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.