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Finding the Fourth Proportional to 12,180.14, 16,808.61 and 6,591.14

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Solution

The fourth proportional to 12,180.14, 16,808.61 and 6,591.14 is: 9,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.14 : 16,808.61 = 6,591.14 : x
  2. Step 2: Convert to fraction form
    12,180.14/16,808.61 = 6,591.14/x
  3. Step 3: Cross multiply
    12,180.14x = 16,808.61 × 6,591.14
  4. Step 4: Simplify right side
    12,180.14x = 110,787,901.72
  5. Step 5: Solve for x
    x = 110,787,901.72/12,180.14
  6. Step 6: Final answer
    x = 9,095.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.