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Finding the Fourth Proportional to 29,471, 40,669.98 and 16,223

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Solution

The fourth proportional to 29,471, 40,669.98 and 16,223 is: 22,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471 : 40,669.98 = 16,223 : x
  2. Step 2: Convert to fraction form
    29,471/40,669.98 = 16,223/x
  3. Step 3: Cross multiply
    29,471x = 40,669.98 × 16,223
  4. Step 4: Simplify right side
    29,471x = 659,789,085.54
  5. Step 5: Solve for x
    x = 659,789,085.54/29,471
  6. Step 6: Final answer
    x = 22,387.74

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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.