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Finding the Fourth Proportional to 22,884.78, 34,327.17 and 7,302

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Solution

The fourth proportional to 22,884.78, 34,327.17 and 7,302 is: 10,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.78 : 34,327.17 = 7,302 : x
  2. Step 2: Convert to fraction form
    22,884.78/34,327.17 = 7,302/x
  3. Step 3: Cross multiply
    22,884.78x = 34,327.17 × 7,302
  4. Step 4: Simplify right side
    22,884.78x = 250,656,995.34
  5. Step 5: Solve for x
    x = 250,656,995.34/22,884.78
  6. Step 6: Final answer
    x = 10,953

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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.