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Finding the Fourth Proportional to 16,528.24, 24,785.56 and 8,205.20

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Solution

The fourth proportional to 16,528.24, 24,785.56 and 8,205.20 is: 12,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.24 : 24,785.56 = 8,205.20 : x
  2. Step 2: Convert to fraction form
    16,528.24/24,785.56 = 8,205.20/x
  3. Step 3: Cross multiply
    16,528.24x = 24,785.56 × 8,205.20
  4. Step 4: Simplify right side
    16,528.24x = 203,370,476.91
  5. Step 5: Solve for x
    x = 203,370,476.91/16,528.24
  6. Step 6: Final answer
    x = 12,304.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.