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Finding the Fourth Proportional to 22,273.92, 33,417.48 and 8,424

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Solution

The fourth proportional to 22,273.92, 33,417.48 and 8,424 is: 12,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273.92 : 33,417.48 = 8,424 : x
  2. Step 2: Convert to fraction form
    22,273.92/33,417.48 = 8,424/x
  3. Step 3: Cross multiply
    22,273.92x = 33,417.48 × 8,424
  4. Step 4: Simplify right side
    22,273.92x = 281,508,851.52
  5. Step 5: Solve for x
    x = 281,508,851.52/22,273.92
  6. Step 6: Final answer
    x = 12,638.50

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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.