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Finding the Fourth Proportional to 12,177.81, 16,805.21 and 6,588.81

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Solution

The fourth proportional to 12,177.81, 16,805.21 and 6,588.81 is: 9,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.81 : 16,805.21 = 6,588.81 : x
  2. Step 2: Convert to fraction form
    12,177.81/16,805.21 = 6,588.81/x
  3. Step 3: Cross multiply
    12,177.81x = 16,805.21 × 6,588.81
  4. Step 4: Simplify right side
    12,177.81x = 110,726,302.76
  5. Step 5: Solve for x
    x = 110,726,302.76/12,177.81
  6. Step 6: Final answer
    x = 9,092.46

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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.