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Finding the Fourth Proportional to 27,580.82, 38,062.38 and 15,644.66

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Solution

The fourth proportional to 27,580.82, 38,062.38 and 15,644.66 is: 21,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.82 : 38,062.38 = 15,644.66 : x
  2. Step 2: Convert to fraction form
    27,580.82/38,062.38 = 15,644.66/x
  3. Step 3: Cross multiply
    27,580.82x = 38,062.38 × 15,644.66
  4. Step 4: Simplify right side
    27,580.82x = 595,472,898.73
  5. Step 5: Solve for x
    x = 595,472,898.73/27,580.82
  6. Step 6: Final answer
    x = 21,590.11

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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.