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Finding the Fourth Proportional to 22,283.45, 33,404.24 and 7,482

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Solution

The fourth proportional to 22,283.45, 33,404.24 and 7,482 is: 11,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.45 : 33,404.24 = 7,482 : x
  2. Step 2: Convert to fraction form
    22,283.45/33,404.24 = 7,482/x
  3. Step 3: Cross multiply
    22,283.45x = 33,404.24 × 7,482
  4. Step 4: Simplify right side
    22,283.45x = 249,930,486.27
  5. Step 5: Solve for x
    x = 249,930,486.27/22,283.45
  6. Step 6: Final answer
    x = 11,215.97

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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.