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Finding the Fourth Proportional to 12,939.60, 17,865.50 and 9,909.38

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Solution

The fourth proportional to 12,939.60, 17,865.50 and 9,909.38 is: 13,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.60 : 17,865.50 = 9,909.38 : x
  2. Step 2: Convert to fraction form
    12,939.60/17,865.50 = 9,909.38/x
  3. Step 3: Cross multiply
    12,939.60x = 17,865.50 × 9,909.38
  4. Step 4: Simplify right side
    12,939.60x = 177,035,997.46
  5. Step 5: Solve for x
    x = 177,035,997.46/12,939.60
  6. Step 6: Final answer
    x = 13,681.72

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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.