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Finding the Fourth Proportional to 29,166, 40,251.24 and 16,594.80

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Solution

The fourth proportional to 29,166, 40,251.24 and 16,594.80 is: 22,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,166 : 40,251.24 = 16,594.80 : x
  2. Step 2: Convert to fraction form
    29,166/40,251.24 = 16,594.80/x
  3. Step 3: Cross multiply
    29,166x = 40,251.24 × 16,594.80
  4. Step 4: Simplify right side
    29,166x = 667,961,277.55
  5. Step 5: Solve for x
    x = 667,961,277.55/29,166
  6. Step 6: Final answer
    x = 22,902.05

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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.