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Finding the Fourth Proportional to 13,215.81, 18,241.25 and 8,177.10

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Solution

The fourth proportional to 13,215.81, 18,241.25 and 8,177.10 is: 11,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.81 : 18,241.25 = 8,177.10 : x
  2. Step 2: Convert to fraction form
    13,215.81/18,241.25 = 8,177.10/x
  3. Step 3: Cross multiply
    13,215.81x = 18,241.25 × 8,177.10
  4. Step 4: Simplify right side
    13,215.81x = 149,160,525.38
  5. Step 5: Solve for x
    x = 149,160,525.38/13,215.81
  6. Step 6: Final answer
    x = 11,286.52

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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.