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Finding the Fourth Proportional to 23,691.71, 32,664.43 and 16,778

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Solution

The fourth proportional to 23,691.71, 32,664.43 and 16,778 is: 23,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.71 : 32,664.43 = 16,778 : x
  2. Step 2: Convert to fraction form
    23,691.71/32,664.43 = 16,778/x
  3. Step 3: Cross multiply
    23,691.71x = 32,664.43 × 16,778
  4. Step 4: Simplify right side
    23,691.71x = 548,043,806.54
  5. Step 5: Solve for x
    x = 548,043,806.54/23,691.71
  6. Step 6: Final answer
    x = 23,132.30

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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.