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Finding the Fourth Proportional to 16,284.80, 22,473.02 and 8,832.80

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Solution

The fourth proportional to 16,284.80, 22,473.02 and 8,832.80 is: 12,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.80 : 22,473.02 = 8,832.80 : x
  2. Step 2: Convert to fraction form
    16,284.80/22,473.02 = 8,832.80/x
  3. Step 3: Cross multiply
    16,284.80x = 22,473.02 × 8,832.80
  4. Step 4: Simplify right side
    16,284.80x = 198,499,618.07
  5. Step 5: Solve for x
    x = 198,499,618.07/16,284.80
  6. Step 6: Final answer
    x = 12,189.26

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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.