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Finding the Fourth Proportional to 12,129.70, 18,194.55 and 9,057.70

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Solution

The fourth proportional to 12,129.70, 18,194.55 and 9,057.70 is: 13,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.70 : 18,194.55 = 9,057.70 : x
  2. Step 2: Convert to fraction form
    12,129.70/18,194.55 = 9,057.70/x
  3. Step 3: Cross multiply
    12,129.70x = 18,194.55 × 9,057.70
  4. Step 4: Simplify right side
    12,129.70x = 164,800,775.54
  5. Step 5: Solve for x
    x = 164,800,775.54/12,129.70
  6. Step 6: Final answer
    x = 13,586.55

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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.