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Finding the Fourth Proportional to 16,287.70, 24,439.65 and 6,427.30

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Solution

The fourth proportional to 16,287.70, 24,439.65 and 6,427.30 is: 9,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.70 : 24,439.65 = 6,427.30 : x
  2. Step 2: Convert to fraction form
    16,287.70/24,439.65 = 6,427.30/x
  3. Step 3: Cross multiply
    16,287.70x = 24,439.65 × 6,427.30
  4. Step 4: Simplify right side
    16,287.70x = 157,080,962.45
  5. Step 5: Solve for x
    x = 157,080,962.45/16,287.70
  6. Step 6: Final answer
    x = 9,644.15

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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.