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Finding the Fourth Proportional to 23,843.90, 32,910.57 and 13,778.20

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Solution

The fourth proportional to 23,843.90, 32,910.57 and 13,778.20 is: 19,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.90 : 32,910.57 = 13,778.20 : x
  2. Step 2: Convert to fraction form
    23,843.90/32,910.57 = 13,778.20/x
  3. Step 3: Cross multiply
    23,843.90x = 32,910.57 × 13,778.20
  4. Step 4: Simplify right side
    23,843.90x = 453,448,456.71
  5. Step 5: Solve for x
    x = 453,448,456.71/23,843.90
  6. Step 6: Final answer
    x = 19,017.38

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Why These Related Problems?

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