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Finding the Fourth Proportional to 26,202.48, 39,244.68 and 15,082.80

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Solution

The fourth proportional to 26,202.48, 39,244.68 and 15,082.80 is: 22,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.48 : 39,244.68 = 15,082.80 : x
  2. Step 2: Convert to fraction form
    26,202.48/39,244.68 = 15,082.80/x
  3. Step 3: Cross multiply
    26,202.48x = 39,244.68 × 15,082.80
  4. Step 4: Simplify right side
    26,202.48x = 591,919,659.50
  5. Step 5: Solve for x
    x = 591,919,659.50/26,202.48
  6. Step 6: Final answer
    x = 22,590.22

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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.