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Finding the Fourth Proportional to 15,205.28, 20,983.20 and 8,490.84

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Solution

The fourth proportional to 15,205.28, 20,983.20 and 8,490.84 is: 11,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.28 : 20,983.20 = 8,490.84 : x
  2. Step 2: Convert to fraction form
    15,205.28/20,983.20 = 8,490.84/x
  3. Step 3: Cross multiply
    15,205.28x = 20,983.20 × 8,490.84
  4. Step 4: Simplify right side
    15,205.28x = 178,164,993.89
  5. Step 5: Solve for x
    x = 178,164,993.89/15,205.28
  6. Step 6: Final answer
    x = 11,717.31

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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.