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Finding the Fourth Proportional to 12,860.39, 17,757.40 and 9,871.49

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Solution

The fourth proportional to 12,860.39, 17,757.40 and 9,871.49 is: 13,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.39 : 17,757.40 = 9,871.49 : x
  2. Step 2: Convert to fraction form
    12,860.39/17,757.40 = 9,871.49/x
  3. Step 3: Cross multiply
    12,860.39x = 17,757.40 × 9,871.49
  4. Step 4: Simplify right side
    12,860.39x = 175,291,996.53
  5. Step 5: Solve for x
    x = 175,291,996.53/12,860.39
  6. Step 6: Final answer
    x = 13,630.38

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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.