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Finding the Fourth Proportional to 12,154.20, 16,773.14 and 6,849.21

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Solution

The fourth proportional to 12,154.20, 16,773.14 and 6,849.21 is: 9,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.20 : 16,773.14 = 6,849.21 : x
  2. Step 2: Convert to fraction form
    12,154.20/16,773.14 = 6,849.21/x
  3. Step 3: Cross multiply
    12,154.20x = 16,773.14 × 6,849.21
  4. Step 4: Simplify right side
    12,154.20x = 114,882,758.22
  5. Step 5: Solve for x
    x = 114,882,758.22/12,154.20
  6. Step 6: Final answer
    x = 9,452.10

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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.