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Finding the Fourth Proportional to 16,995.75, 23,454.14 and 9,543.75

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Solution

The fourth proportional to 16,995.75, 23,454.14 and 9,543.75 is: 13,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,995.75 : 23,454.14 = 9,543.75 : x
  2. Step 2: Convert to fraction form
    16,995.75/23,454.14 = 9,543.75/x
  3. Step 3: Cross multiply
    16,995.75x = 23,454.14 × 9,543.75
  4. Step 4: Simplify right side
    16,995.75x = 223,840,400.91
  5. Step 5: Solve for x
    x = 223,840,400.91/16,995.75
  6. Step 6: Final answer
    x = 13,170.38

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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.