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Finding the Fourth Proportional to 22,472.28, 33,708.34 and 5,830.92

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Solution

The fourth proportional to 22,472.28, 33,708.34 and 5,830.92 is: 8,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.28 : 33,708.34 = 5,830.92 : x
  2. Step 2: Convert to fraction form
    22,472.28/33,708.34 = 5,830.92/x
  3. Step 3: Cross multiply
    22,472.28x = 33,708.34 × 5,830.92
  4. Step 4: Simplify right side
    22,472.28x = 196,550,633.87
  5. Step 5: Solve for x
    x = 196,550,633.87/22,472.28
  6. Step 6: Final answer
    x = 8,746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.