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Finding the Fourth Proportional to 12,179.13, 16,799.13 and 8,402.46

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Solution

The fourth proportional to 12,179.13, 16,799.13 and 8,402.46 is: 11,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.13 : 16,799.13 = 8,402.46 : x
  2. Step 2: Convert to fraction form
    12,179.13/16,799.13 = 8,402.46/x
  3. Step 3: Cross multiply
    12,179.13x = 16,799.13 × 8,402.46
  4. Step 4: Simplify right side
    12,179.13x = 141,154,017.86
  5. Step 5: Solve for x
    x = 141,154,017.86/12,179.13
  6. Step 6: Final answer
    x = 11,589.83

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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.