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Finding the Fourth Proportional to 12,207.61, 16,847.75 and 7,427.89

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Solution

The fourth proportional to 12,207.61, 16,847.75 and 7,427.89 is: 10,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.61 : 16,847.75 = 7,427.89 : x
  2. Step 2: Convert to fraction form
    12,207.61/16,847.75 = 7,427.89/x
  3. Step 3: Cross multiply
    12,207.61x = 16,847.75 × 7,427.89
  4. Step 4: Simplify right side
    12,207.61x = 125,143,273.38
  5. Step 5: Solve for x
    x = 125,143,273.38/12,207.61
  6. Step 6: Final answer
    x = 10,251.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.