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Finding the Fourth Proportional to 12,123.81, 18,161.64 and 9,340.83

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Solution

The fourth proportional to 12,123.81, 18,161.64 and 9,340.83 is: 13,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.81 : 18,161.64 = 9,340.83 : x
  2. Step 2: Convert to fraction form
    12,123.81/18,161.64 = 9,340.83/x
  3. Step 3: Cross multiply
    12,123.81x = 18,161.64 × 9,340.83
  4. Step 4: Simplify right side
    12,123.81x = 169,644,791.76
  5. Step 5: Solve for x
    x = 169,644,791.76/12,123.81
  6. Step 6: Final answer
    x = 13,992.70

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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.