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Finding the Fourth Proportional to 12,177.66, 16,805.17 and 6,588.66

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Solution

The fourth proportional to 12,177.66, 16,805.17 and 6,588.66 is: 9,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.66 : 16,805.17 = 6,588.66 : x
  2. Step 2: Convert to fraction form
    12,177.66/16,805.17 = 6,588.66/x
  3. Step 3: Cross multiply
    12,177.66x = 16,805.17 × 6,588.66
  4. Step 4: Simplify right side
    12,177.66x = 110,723,459.53
  5. Step 5: Solve for x
    x = 110,723,459.53/12,177.66
  6. Step 6: Final answer
    x = 9,092.35

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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.