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Finding the Fourth Proportional to 17,866.78, 24,657.95 and 9,910.55

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Solution

The fourth proportional to 17,866.78, 24,657.95 and 9,910.55 is: 13,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.78 : 24,657.95 = 9,910.55 : x
  2. Step 2: Convert to fraction form
    17,866.78/24,657.95 = 9,910.55/x
  3. Step 3: Cross multiply
    17,866.78x = 24,657.95 × 9,910.55
  4. Step 4: Simplify right side
    17,866.78x = 244,373,932.79
  5. Step 5: Solve for x
    x = 244,373,932.79/17,866.78
  6. Step 6: Final answer
    x = 13,677.56

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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.