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Finding the Fourth Proportional to 17,778.92, 24,535.42 and 9,821.66

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Solution

The fourth proportional to 17,778.92, 24,535.42 and 9,821.66 is: 13,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.92 : 24,535.42 = 9,821.66 : x
  2. Step 2: Convert to fraction form
    17,778.92/24,535.42 = 9,821.66/x
  3. Step 3: Cross multiply
    17,778.92x = 24,535.42 × 9,821.66
  4. Step 4: Simplify right side
    17,778.92x = 240,978,553.20
  5. Step 5: Solve for x
    x = 240,978,553.20/17,778.92
  6. Step 6: Final answer
    x = 13,554.17

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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.