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Finding the Fourth Proportional to 22,237.80, 33,353.82 and 8,385

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Solution

The fourth proportional to 22,237.80, 33,353.82 and 8,385 is: 12,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.80 : 33,353.82 = 8,385 : x
  2. Step 2: Convert to fraction form
    22,237.80/33,353.82 = 8,385/x
  3. Step 3: Cross multiply
    22,237.80x = 33,353.82 × 8,385
  4. Step 4: Simplify right side
    22,237.80x = 279,671,780.70
  5. Step 5: Solve for x
    x = 279,671,780.70/22,237.80
  6. Step 6: Final answer
    x = 12,576.41

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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.