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Finding the Fourth Proportional to 17,793.20, 24,552.47 and 9,834.33

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Solution

The fourth proportional to 17,793.20, 24,552.47 and 9,834.33 is: 13,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,793.20 : 24,552.47 = 9,834.33 : x
  2. Step 2: Convert to fraction form
    17,793.20/24,552.47 = 9,834.33/x
  3. Step 3: Cross multiply
    17,793.20x = 24,552.47 × 9,834.33
  4. Step 4: Simplify right side
    17,793.20x = 241,457,043.12
  5. Step 5: Solve for x
    x = 241,457,043.12/17,793.20
  6. Step 6: Final answer
    x = 13,570.19

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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.