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Finding the Fourth Proportional to 17,778.75, 24,535.83 and 9,821.08

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Solution

The fourth proportional to 17,778.75, 24,535.83 and 9,821.08 is: 13,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.75 : 24,535.83 = 9,821.08 : x
  2. Step 2: Convert to fraction form
    17,778.75/24,535.83 = 9,821.08/x
  3. Step 3: Cross multiply
    17,778.75x = 24,535.83 × 9,821.08
  4. Step 4: Simplify right side
    17,778.75x = 240,968,349.30
  5. Step 5: Solve for x
    x = 240,968,349.30/17,778.75
  6. Step 6: Final answer
    x = 13,553.73

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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.