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Finding the Fourth Proportional to 11,000.20, 15,422.15 and 11,000.20

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Solution

The fourth proportional to 11,000.20, 15,422.15 and 11,000.20 is: 15,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.20 : 15,422.15 = 11,000.20 : x
  2. Step 2: Convert to fraction form
    11,000.20/15,422.15 = 11,000.20/x
  3. Step 3: Cross multiply
    11,000.20x = 15,422.15 × 11,000.20
  4. Step 4: Simplify right side
    11,000.20x = 169,646,734.43
  5. Step 5: Solve for x
    x = 169,646,734.43/11,000.20
  6. Step 6: Final answer
    x = 15,422.15

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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.