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Finding the Fourth Proportional to 16,401.30, 24,608.16 and 9,832.20

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Solution

The fourth proportional to 16,401.30, 24,608.16 and 9,832.20 is: 14,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.30 : 24,608.16 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    16,401.30/24,608.16 = 9,832.20/x
  3. Step 3: Cross multiply
    16,401.30x = 24,608.16 × 9,832.20
  4. Step 4: Simplify right side
    16,401.30x = 241,952,350.75
  5. Step 5: Solve for x
    x = 241,952,350.75/16,401.30
  6. Step 6: Final answer
    x = 14,752.02

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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.