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Finding the Fourth Proportional to 12,177.89, 16,805.51 and 6,588.89

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Solution

The fourth proportional to 12,177.89, 16,805.51 and 6,588.89 is: 9,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.89 : 16,805.51 = 6,588.89 : x
  2. Step 2: Convert to fraction form
    12,177.89/16,805.51 = 6,588.89/x
  3. Step 3: Cross multiply
    12,177.89x = 16,805.51 × 6,588.89
  4. Step 4: Simplify right side
    12,177.89x = 110,729,623.84
  5. Step 5: Solve for x
    x = 110,729,623.84/12,177.89
  6. Step 6: Final answer
    x = 9,092.68

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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.