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Finding the Fourth Proportional to 16,568.90, 24,835.32 and 8,255.06

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Solution

The fourth proportional to 16,568.90, 24,835.32 and 8,255.06 is: 12,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.90 : 24,835.32 = 8,255.06 : x
  2. Step 2: Convert to fraction form
    16,568.90/24,835.32 = 8,255.06/x
  3. Step 3: Cross multiply
    16,568.90x = 24,835.32 × 8,255.06
  4. Step 4: Simplify right side
    16,568.90x = 205,016,932.54
  5. Step 5: Solve for x
    x = 205,016,932.54/16,568.90
  6. Step 6: Final answer
    x = 12,373.60

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Why These Related Problems?

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