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Finding the Fourth Proportional to 27,707.34, 38,227.11 and 16,377.18

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Solution

The fourth proportional to 27,707.34, 38,227.11 and 16,377.18 is: 22,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.34 : 38,227.11 = 16,377.18 : x
  2. Step 2: Convert to fraction form
    27,707.34/38,227.11 = 16,377.18/x
  3. Step 3: Cross multiply
    27,707.34x = 38,227.11 × 16,377.18
  4. Step 4: Simplify right side
    27,707.34x = 626,052,261.35
  5. Step 5: Solve for x
    x = 626,052,261.35/27,707.34
  6. Step 6: Final answer
    x = 22,595.18

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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.