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Finding the Fourth Proportional to 27,849.28, 38,432.12 and 16,671.28

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Solution

The fourth proportional to 27,849.28, 38,432.12 and 16,671.28 is: 23,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849.28 : 38,432.12 = 16,671.28 : x
  2. Step 2: Convert to fraction form
    27,849.28/38,432.12 = 16,671.28/x
  3. Step 3: Cross multiply
    27,849.28x = 38,432.12 × 16,671.28
  4. Step 4: Simplify right side
    27,849.28x = 640,712,633.51
  5. Step 5: Solve for x
    x = 640,712,633.51/27,849.28
  6. Step 6: Final answer
    x = 23,006.43

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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.