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Finding the Fourth Proportional to 12,177.91, 16,809.35 and 7,144.17

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Solution

The fourth proportional to 12,177.91, 16,809.35 and 7,144.17 is: 9,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.91 : 16,809.35 = 7,144.17 : x
  2. Step 2: Convert to fraction form
    12,177.91/16,809.35 = 7,144.17/x
  3. Step 3: Cross multiply
    12,177.91x = 16,809.35 × 7,144.17
  4. Step 4: Simplify right side
    12,177.91x = 120,088,853.99
  5. Step 5: Solve for x
    x = 120,088,853.99/12,177.91
  6. Step 6: Final answer
    x = 9,861.20

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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.