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Finding the Fourth Proportional to 12,899.20, 17,803.92 and 8,182.84

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Solution

The fourth proportional to 12,899.20, 17,803.92 and 8,182.84 is: 11,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.20 : 17,803.92 = 8,182.84 : x
  2. Step 2: Convert to fraction form
    12,899.20/17,803.92 = 8,182.84/x
  3. Step 3: Cross multiply
    12,899.20x = 17,803.92 × 8,182.84
  4. Step 4: Simplify right side
    12,899.20x = 145,686,628.73
  5. Step 5: Solve for x
    x = 145,686,628.73/12,899.20
  6. Step 6: Final answer
    x = 11,294.24

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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.