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Finding the Fourth Proportional to 16,474.08, 24,698.16 and 8,148.24

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Solution

The fourth proportional to 16,474.08, 24,698.16 and 8,148.24 is: 12,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.08 : 24,698.16 = 8,148.24 : x
  2. Step 2: Convert to fraction form
    16,474.08/24,698.16 = 8,148.24/x
  3. Step 3: Cross multiply
    16,474.08x = 24,698.16 × 8,148.24
  4. Step 4: Simplify right side
    16,474.08x = 201,246,535.24
  5. Step 5: Solve for x
    x = 201,246,535.24/16,474.08
  6. Step 6: Final answer
    x = 12,215.95

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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.