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Finding the Fourth Proportional to 16,147.25, 24,232.01 and 6,286.58

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Solution

The fourth proportional to 16,147.25, 24,232.01 and 6,286.58 is: 9,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.25 : 24,232.01 = 6,286.58 : x
  2. Step 2: Convert to fraction form
    16,147.25/24,232.01 = 6,286.58/x
  3. Step 3: Cross multiply
    16,147.25x = 24,232.01 × 6,286.58
  4. Step 4: Simplify right side
    16,147.25x = 152,336,316.83
  5. Step 5: Solve for x
    x = 152,336,316.83/16,147.25
  6. Step 6: Final answer
    x = 9,434.20

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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.