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Finding the Fourth Proportional to 16,234.90, 24,342.96 and 6,362.62

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Solution

The fourth proportional to 16,234.90, 24,342.96 and 6,362.62 is: 9,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.90 : 24,342.96 = 6,362.62 : x
  2. Step 2: Convert to fraction form
    16,234.90/24,342.96 = 6,362.62/x
  3. Step 3: Cross multiply
    16,234.90x = 24,342.96 × 6,362.62
  4. Step 4: Simplify right side
    16,234.90x = 154,885,004.16
  5. Step 5: Solve for x
    x = 154,885,004.16/16,234.90
  6. Step 6: Final answer
    x = 9,540.25

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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.