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Finding the Fourth Proportional to 16,657.62, 22,986.80 and 9,103.83

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Solution

The fourth proportional to 16,657.62, 22,986.80 and 9,103.83 is: 12,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.62 : 22,986.80 = 9,103.83 : x
  2. Step 2: Convert to fraction form
    16,657.62/22,986.80 = 9,103.83/x
  3. Step 3: Cross multiply
    16,657.62x = 22,986.80 × 9,103.83
  4. Step 4: Simplify right side
    16,657.62x = 209,267,919.44
  5. Step 5: Solve for x
    x = 209,267,919.44/16,657.62
  6. Step 6: Final answer
    x = 12,562.89

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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.