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Finding the Fourth Proportional to 22,608, 33,917.76 and 8,573.76

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Solution

The fourth proportional to 22,608, 33,917.76 and 8,573.76 is: 12,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 33,917.76 = 8,573.76 : x
  2. Step 2: Convert to fraction form
    22,608/33,917.76 = 8,573.76/x
  3. Step 3: Cross multiply
    22,608x = 33,917.76 × 8,573.76
  4. Step 4: Simplify right side
    22,608x = 290,802,733.98
  5. Step 5: Solve for x
    x = 290,802,733.98/22,608
  6. Step 6: Final answer
    x = 12,862.82

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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.