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Finding the Fourth Proportional to 16,497.92, 22,759.08 and 9,422.48

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Solution

The fourth proportional to 16,497.92, 22,759.08 and 9,422.48 is: 12,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.92 : 22,759.08 = 9,422.48 : x
  2. Step 2: Convert to fraction form
    16,497.92/22,759.08 = 9,422.48/x
  3. Step 3: Cross multiply
    16,497.92x = 22,759.08 × 9,422.48
  4. Step 4: Simplify right side
    16,497.92x = 214,446,976.12
  5. Step 5: Solve for x
    x = 214,446,976.12/16,497.92
  6. Step 6: Final answer
    x = 12,998.43

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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.