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Finding the Fourth Proportional to 29,204.80, 40,302.78 and 16,458.18

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Solution

The fourth proportional to 29,204.80, 40,302.78 and 16,458.18 is: 22,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204.80 : 40,302.78 = 16,458.18 : x
  2. Step 2: Convert to fraction form
    29,204.80/40,302.78 = 16,458.18/x
  3. Step 3: Cross multiply
    29,204.80x = 40,302.78 × 16,458.18
  4. Step 4: Simplify right side
    29,204.80x = 663,310,520.55
  5. Step 5: Solve for x
    x = 663,310,520.55/29,204.80
  6. Step 6: Final answer
    x = 22,712.38

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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.