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Finding the Fourth Proportional to 12,177.70, 18,266.55 and 10,233.70

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Solution

The fourth proportional to 12,177.70, 18,266.55 and 10,233.70 is: 15,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.70 : 18,266.55 = 10,233.70 : x
  2. Step 2: Convert to fraction form
    12,177.70/18,266.55 = 10,233.70/x
  3. Step 3: Cross multiply
    12,177.70x = 18,266.55 × 10,233.70
  4. Step 4: Simplify right side
    12,177.70x = 186,934,392.74
  5. Step 5: Solve for x
    x = 186,934,392.74/12,177.70
  6. Step 6: Final answer
    x = 15,350.55

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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.