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Finding the Fourth Proportional to 29,708.42, 40,995.84 and 16,277

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Solution

The fourth proportional to 29,708.42, 40,995.84 and 16,277 is: 22,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.42 : 40,995.84 = 16,277 : x
  2. Step 2: Convert to fraction form
    29,708.42/40,995.84 = 16,277/x
  3. Step 3: Cross multiply
    29,708.42x = 40,995.84 × 16,277
  4. Step 4: Simplify right side
    29,708.42x = 667,289,287.68
  5. Step 5: Solve for x
    x = 667,289,287.68/29,708.42
  6. Step 6: Final answer
    x = 22,461.28

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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.