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Finding the Fourth Proportional to 22,029.72, 30,412.86 and 16,982.88

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Solution

The fourth proportional to 22,029.72, 30,412.86 and 16,982.88 is: 23,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.72 : 30,412.86 = 16,982.88 : x
  2. Step 2: Convert to fraction form
    22,029.72/30,412.86 = 16,982.88/x
  3. Step 3: Cross multiply
    22,029.72x = 30,412.86 × 16,982.88
  4. Step 4: Simplify right side
    22,029.72x = 516,497,951.84
  5. Step 5: Solve for x
    x = 516,497,951.84/22,029.72
  6. Step 6: Final answer
    x = 23,445.51

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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.