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Finding the Fourth Proportional to 12,177.82, 16,805.25 and 7,141

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Solution

The fourth proportional to 12,177.82, 16,805.25 and 7,141 is: 9,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.82 : 16,805.25 = 7,141 : x
  2. Step 2: Convert to fraction form
    12,177.82/16,805.25 = 7,141/x
  3. Step 3: Cross multiply
    12,177.82x = 16,805.25 × 7,141
  4. Step 4: Simplify right side
    12,177.82x = 120,006,290.25
  5. Step 5: Solve for x
    x = 120,006,290.25/12,177.82
  6. Step 6: Final answer
    x = 9,854.50

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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.