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Finding the Fourth Proportional to 12,871.96, 17,771.33 and 9,881.84

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Solution

The fourth proportional to 12,871.96, 17,771.33 and 9,881.84 is: 13,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.96 : 17,771.33 = 9,881.84 : x
  2. Step 2: Convert to fraction form
    12,871.96/17,771.33 = 9,881.84/x
  3. Step 3: Cross multiply
    12,871.96x = 17,771.33 × 9,881.84
  4. Step 4: Simplify right side
    12,871.96x = 175,613,508.78
  5. Step 5: Solve for x
    x = 175,613,508.78/12,871.96
  6. Step 6: Final answer
    x = 13,643.11

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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.