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Finding the Fourth Proportional to 12,265.96, 18,397.02 and 4,057.96

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Solution

The fourth proportional to 12,265.96, 18,397.02 and 4,057.96 is: 6,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.96 : 18,397.02 = 4,057.96 : x
  2. Step 2: Convert to fraction form
    12,265.96/18,397.02 = 4,057.96/x
  3. Step 3: Cross multiply
    12,265.96x = 18,397.02 × 4,057.96
  4. Step 4: Simplify right side
    12,265.96x = 74,654,371.28
  5. Step 5: Solve for x
    x = 74,654,371.28/12,265.96
  6. Step 6: Final answer
    x = 6,086.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.