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Finding the Fourth Proportional to 29,856.80, 41,201.36 and 16,426.80

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Solution

The fourth proportional to 29,856.80, 41,201.36 and 16,426.80 is: 22,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.80 : 41,201.36 = 16,426.80 : x
  2. Step 2: Convert to fraction form
    29,856.80/41,201.36 = 16,426.80/x
  3. Step 3: Cross multiply
    29,856.80x = 41,201.36 × 16,426.80
  4. Step 4: Simplify right side
    29,856.80x = 676,806,479.91
  5. Step 5: Solve for x
    x = 676,806,479.91/29,856.80
  6. Step 6: Final answer
    x = 22,668.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.