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Finding the Fourth Proportional to 15,514.20, 21,778.20 and 15,514.20

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Solution

The fourth proportional to 15,514.20, 21,778.20 and 15,514.20 is: 21,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.20 : 21,778.20 = 15,514.20 : x
  2. Step 2: Convert to fraction form
    15,514.20/21,778.20 = 15,514.20/x
  3. Step 3: Cross multiply
    15,514.20x = 21,778.20 × 15,514.20
  4. Step 4: Simplify right side
    15,514.20x = 337,871,350.44
  5. Step 5: Solve for x
    x = 337,871,350.44/15,514.20
  6. Step 6: Final answer
    x = 21,778.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.