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Finding the Fourth Proportional to 12,191.18, 18,288.11 and 6,652.60

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Solution

The fourth proportional to 12,191.18, 18,288.11 and 6,652.60 is: 9,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.18 : 18,288.11 = 6,652.60 : x
  2. Step 2: Convert to fraction form
    12,191.18/18,288.11 = 6,652.60/x
  3. Step 3: Cross multiply
    12,191.18x = 18,288.11 × 6,652.60
  4. Step 4: Simplify right side
    12,191.18x = 121,663,451.50
  5. Step 5: Solve for x
    x = 121,663,451.50/12,191.18
  6. Step 6: Final answer
    x = 9,979.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.