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Finding the Fourth Proportional to 17,953.92, 24,776.24 and 9,995.66

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Solution

The fourth proportional to 17,953.92, 24,776.24 and 9,995.66 is: 13,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.92 : 24,776.24 = 9,995.66 : x
  2. Step 2: Convert to fraction form
    17,953.92/24,776.24 = 9,995.66/x
  3. Step 3: Cross multiply
    17,953.92x = 24,776.24 × 9,995.66
  4. Step 4: Simplify right side
    17,953.92x = 247,654,871.12
  5. Step 5: Solve for x
    x = 247,654,871.12/17,953.92
  6. Step 6: Final answer
    x = 13,793.92

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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.