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Finding the Fourth Proportional to 17,879.31, 24,675 and 9,923.07

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Solution

The fourth proportional to 17,879.31, 24,675 and 9,923.07 is: 13,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.31 : 24,675 = 9,923.07 : x
  2. Step 2: Convert to fraction form
    17,879.31/24,675 = 9,923.07/x
  3. Step 3: Cross multiply
    17,879.31x = 24,675 × 9,923.07
  4. Step 4: Simplify right side
    17,879.31x = 244,851,752.25
  5. Step 5: Solve for x
    x = 244,851,752.25/17,879.31
  6. Step 6: Final answer
    x = 13,694.70

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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.