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Finding the Fourth Proportional to 15,984.32, 22,057.02 and 9,267.80

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Solution

The fourth proportional to 15,984.32, 22,057.02 and 9,267.80 is: 12,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.32 : 22,057.02 = 9,267.80 : x
  2. Step 2: Convert to fraction form
    15,984.32/22,057.02 = 9,267.80/x
  3. Step 3: Cross multiply
    15,984.32x = 22,057.02 × 9,267.80
  4. Step 4: Simplify right side
    15,984.32x = 204,419,939.67
  5. Step 5: Solve for x
    x = 204,419,939.67/15,984.32
  6. Step 6: Final answer
    x = 12,788.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.