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Finding the Fourth Proportional to 12,207.66, 16,847.82 and 7,427.95

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Solution

The fourth proportional to 12,207.66, 16,847.82 and 7,427.95 is: 10,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.66 : 16,847.82 = 7,427.95 : x
  2. Step 2: Convert to fraction form
    12,207.66/16,847.82 = 7,427.95/x
  3. Step 3: Cross multiply
    12,207.66x = 16,847.82 × 7,427.95
  4. Step 4: Simplify right side
    12,207.66x = 125,144,722.45
  5. Step 5: Solve for x
    x = 125,144,722.45/12,207.66
  6. Step 6: Final answer
    x = 10,251.33

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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.