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Finding the Fourth Proportional to 22,569.78, 33,856.22 and 5,929.80

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Solution

The fourth proportional to 22,569.78, 33,856.22 and 5,929.80 is: 8,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.78 : 33,856.22 = 5,929.80 : x
  2. Step 2: Convert to fraction form
    22,569.78/33,856.22 = 5,929.80/x
  3. Step 3: Cross multiply
    22,569.78x = 33,856.22 × 5,929.80
  4. Step 4: Simplify right side
    22,569.78x = 200,760,613.36
  5. Step 5: Solve for x
    x = 200,760,613.36/22,569.78
  6. Step 6: Final answer
    x = 8,895.11

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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.