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Finding the Fourth Proportional to 22,472.25, 33,708.10 and 5,830.80

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Solution

The fourth proportional to 22,472.25, 33,708.10 and 5,830.80 is: 8,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.25 : 33,708.10 = 5,830.80 : x
  2. Step 2: Convert to fraction form
    22,472.25/33,708.10 = 5,830.80/x
  3. Step 3: Cross multiply
    22,472.25x = 33,708.10 × 5,830.80
  4. Step 4: Simplify right side
    22,472.25x = 196,545,006.36
  5. Step 5: Solve for x
    x = 196,545,006.36/22,472.25
  6. Step 6: Final answer
    x = 8,746.12

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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.