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Finding the Fourth Proportional to 27,706.86, 38,209.50 and 22,060.24

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Solution

The fourth proportional to 27,706.86, 38,209.50 and 22,060.24 is: 30,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.86 : 38,209.50 = 22,060.24 : x
  2. Step 2: Convert to fraction form
    27,706.86/38,209.50 = 22,060.24/x
  3. Step 3: Cross multiply
    27,706.86x = 38,209.50 × 22,060.24
  4. Step 4: Simplify right side
    27,706.86x = 842,910,740.28
  5. Step 5: Solve for x
    x = 842,910,740.28/27,706.86
  6. Step 6: Final answer
    x = 30,422.46

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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.