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Finding the Fourth Proportional to 15,156.12, 20,914.38 and 8,441.22

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Solution

The fourth proportional to 15,156.12, 20,914.38 and 8,441.22 is: 11,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.12 : 20,914.38 = 8,441.22 : x
  2. Step 2: Convert to fraction form
    15,156.12/20,914.38 = 8,441.22/x
  3. Step 3: Cross multiply
    15,156.12x = 20,914.38 × 8,441.22
  4. Step 4: Simplify right side
    15,156.12x = 176,542,882.74
  5. Step 5: Solve for x
    x = 176,542,882.74/15,156.12
  6. Step 6: Final answer
    x = 11,648.29

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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.