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Finding the Fourth Proportional to 12,181.38, 18,177.79 and 10,869.18

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Solution

The fourth proportional to 12,181.38, 18,177.79 and 10,869.18 is: 16,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.38 : 18,177.79 = 10,869.18 : x
  2. Step 2: Convert to fraction form
    12,181.38/18,177.79 = 10,869.18/x
  3. Step 3: Cross multiply
    12,181.38x = 18,177.79 × 10,869.18
  4. Step 4: Simplify right side
    12,181.38x = 197,577,671.51
  5. Step 5: Solve for x
    x = 197,577,671.51/12,181.38
  6. Step 6: Final answer
    x = 16,219.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.