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Finding the Fourth Proportional to 17,471.32, 24,114.78 and 9,922.12

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Solution

The fourth proportional to 17,471.32, 24,114.78 and 9,922.12 is: 13,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.32 : 24,114.78 = 9,922.12 : x
  2. Step 2: Convert to fraction form
    17,471.32/24,114.78 = 9,922.12/x
  3. Step 3: Cross multiply
    17,471.32x = 24,114.78 × 9,922.12
  4. Step 4: Simplify right side
    17,471.32x = 239,269,680.65
  5. Step 5: Solve for x
    x = 239,269,680.65/17,471.32
  6. Step 6: Final answer
    x = 13,695.00

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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.