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Finding the Fourth Proportional to 22,484.94, 33,734.97 and 10,013.46

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Solution

The fourth proportional to 22,484.94, 33,734.97 and 10,013.46 is: 15,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.94 : 33,734.97 = 10,013.46 : x
  2. Step 2: Convert to fraction form
    22,484.94/33,734.97 = 10,013.46/x
  3. Step 3: Cross multiply
    22,484.94x = 33,734.97 × 10,013.46
  4. Step 4: Simplify right side
    22,484.94x = 337,803,772.70
  5. Step 5: Solve for x
    x = 337,803,772.70/22,484.94
  6. Step 6: Final answer
    x = 15,023.56

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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.