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Finding the Fourth Proportional to 17,531.92, 24,194.92 and 9,574.48

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Solution

The fourth proportional to 17,531.92, 24,194.92 and 9,574.48 is: 13,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531.92 : 24,194.92 = 9,574.48 : x
  2. Step 2: Convert to fraction form
    17,531.92/24,194.92 = 9,574.48/x
  3. Step 3: Cross multiply
    17,531.92x = 24,194.92 × 9,574.48
  4. Step 4: Simplify right side
    17,531.92x = 231,653,777.64
  5. Step 5: Solve for x
    x = 231,653,777.64/17,531.92
  6. Step 6: Final answer
    x = 13,213.26

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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.