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Finding the Fourth Proportional to 29,684.74, 40,964.80 and 16,255.95

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Solution

The fourth proportional to 29,684.74, 40,964.80 and 16,255.95 is: 22,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.74 : 40,964.80 = 16,255.95 : x
  2. Step 2: Convert to fraction form
    29,684.74/40,964.80 = 16,255.95/x
  3. Step 3: Cross multiply
    29,684.74x = 40,964.80 × 16,255.95
  4. Step 4: Simplify right side
    29,684.74x = 665,921,535.74
  5. Step 5: Solve for x
    x = 665,921,535.74/29,684.74
  6. Step 6: Final answer
    x = 22,433.13

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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.