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Finding the Fourth Proportional to 27,881.76, 38,474.26 and 16,549.32

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Solution

The fourth proportional to 27,881.76, 38,474.26 and 16,549.32 is: 22,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.76 : 38,474.26 = 16,549.32 : x
  2. Step 2: Convert to fraction form
    27,881.76/38,474.26 = 16,549.32/x
  3. Step 3: Cross multiply
    27,881.76x = 38,474.26 × 16,549.32
  4. Step 4: Simplify right side
    27,881.76x = 636,722,840.50
  5. Step 5: Solve for x
    x = 636,722,840.50/27,881.76
  6. Step 6: Final answer
    x = 22,836.54

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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.