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Finding the Fourth Proportional to 12,284.50, 16,947.28 and 7,805.85

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Solution

The fourth proportional to 12,284.50, 16,947.28 and 7,805.85 is: 10,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.50 : 16,947.28 = 7,805.85 : x
  2. Step 2: Convert to fraction form
    12,284.50/16,947.28 = 7,805.85/x
  3. Step 3: Cross multiply
    12,284.50x = 16,947.28 × 7,805.85
  4. Step 4: Simplify right side
    12,284.50x = 132,287,887.47
  5. Step 5: Solve for x
    x = 132,287,887.47/12,284.50
  6. Step 6: Final answer
    x = 10,768.68

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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.