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Finding the Fourth Proportional to 27,712.96, 38,234.88 and 16,382.88

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Solution

The fourth proportional to 27,712.96, 38,234.88 and 16,382.88 is: 22,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.96 : 38,234.88 = 16,382.88 : x
  2. Step 2: Convert to fraction form
    27,712.96/38,234.88 = 16,382.88/x
  3. Step 3: Cross multiply
    27,712.96x = 38,234.88 × 16,382.88
  4. Step 4: Simplify right side
    27,712.96x = 626,397,450.85
  5. Step 5: Solve for x
    x = 626,397,450.85/27,712.96
  6. Step 6: Final answer
    x = 22,603.05

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1.5x scale

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.