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Finding the Fourth Proportional to 27,569.17, 38,029.72 and 16,951.28

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Solution

The fourth proportional to 27,569.17, 38,029.72 and 16,951.28 is: 23,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.17 : 38,029.72 = 16,951.28 : x
  2. Step 2: Convert to fraction form
    27,569.17/38,029.72 = 16,951.28/x
  3. Step 3: Cross multiply
    27,569.17x = 38,029.72 × 16,951.28
  4. Step 4: Simplify right side
    27,569.17x = 644,652,347.29
  5. Step 5: Solve for x
    x = 644,652,347.29/27,569.17
  6. Step 6: Final answer
    x = 23,383.09

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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.