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Finding the Fourth Proportional to 22,031.88, 33,031.50 and 10,338.12

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Solution

The fourth proportional to 22,031.88, 33,031.50 and 10,338.12 is: 15,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.88 : 33,031.50 = 10,338.12 : x
  2. Step 2: Convert to fraction form
    22,031.88/33,031.50 = 10,338.12/x
  3. Step 3: Cross multiply
    22,031.88x = 33,031.50 × 10,338.12
  4. Step 4: Simplify right side
    22,031.88x = 341,483,610.78
  5. Step 5: Solve for x
    x = 341,483,610.78/22,031.88
  6. Step 6: Final answer
    x = 15,499.52

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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.