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Finding the Fourth Proportional to 16,662.93, 22,996.86 and 9,589.20

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Solution

The fourth proportional to 16,662.93, 22,996.86 and 9,589.20 is: 13,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.93 : 22,996.86 = 9,589.20 : x
  2. Step 2: Convert to fraction form
    16,662.93/22,996.86 = 9,589.20/x
  3. Step 3: Cross multiply
    16,662.93x = 22,996.86 × 9,589.20
  4. Step 4: Simplify right side
    16,662.93x = 220,521,489.91
  5. Step 5: Solve for x
    x = 220,521,489.91/16,662.93
  6. Step 6: Final answer
    x = 13,234.26

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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.