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Finding the Fourth Proportional to 12,114.92, 18,158.63 and 5,456.87

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Solution

The fourth proportional to 12,114.92, 18,158.63 and 5,456.87 is: 8,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.92 : 18,158.63 = 5,456.87 : x
  2. Step 2: Convert to fraction form
    12,114.92/18,158.63 = 5,456.87/x
  3. Step 3: Cross multiply
    12,114.92x = 18,158.63 × 5,456.87
  4. Step 4: Simplify right side
    12,114.92x = 99,089,264.00
  5. Step 5: Solve for x
    x = 99,089,264.00/12,114.92
  6. Step 6: Final answer
    x = 8,179.11

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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.