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Finding the Fourth Proportional to 20,462.44, 30,694.20 and 15,301.12

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Solution

The fourth proportional to 20,462.44, 30,694.20 and 15,301.12 is: 22,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.44 : 30,694.20 = 15,301.12 : x
  2. Step 2: Convert to fraction form
    20,462.44/30,694.20 = 15,301.12/x
  3. Step 3: Cross multiply
    20,462.44x = 30,694.20 × 15,301.12
  4. Step 4: Simplify right side
    20,462.44x = 469,655,637.50
  5. Step 5: Solve for x
    x = 469,655,637.50/20,462.44
  6. Step 6: Final answer
    x = 22,952.08

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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.