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Finding the Fourth Proportional to 27,870.76, 38,460.24 and 16,540.73

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Solution

The fourth proportional to 27,870.76, 38,460.24 and 16,540.73 is: 22,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.76 : 38,460.24 = 16,540.73 : x
  2. Step 2: Convert to fraction form
    27,870.76/38,460.24 = 16,540.73/x
  3. Step 3: Cross multiply
    27,870.76x = 38,460.24 × 16,540.73
  4. Step 4: Simplify right side
    27,870.76x = 636,160,445.58
  5. Step 5: Solve for x
    x = 636,160,445.58/27,870.76
  6. Step 6: Final answer
    x = 22,825.38

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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.