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Finding the Fourth Proportional to 23,843.91, 32,910.57 and 13,778.19

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Solution

The fourth proportional to 23,843.91, 32,910.57 and 13,778.19 is: 19,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.91 : 32,910.57 = 13,778.19 : x
  2. Step 2: Convert to fraction form
    23,843.91/32,910.57 = 13,778.19/x
  3. Step 3: Cross multiply
    23,843.91x = 32,910.57 × 13,778.19
  4. Step 4: Simplify right side
    23,843.91x = 453,448,086.47
  5. Step 5: Solve for x
    x = 453,448,086.47/23,843.91
  6. Step 6: Final answer
    x = 19,017.35

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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.