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Finding the Fourth Proportional to 16,762.72, 23,131.92 and 9,311.20

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Solution

The fourth proportional to 16,762.72, 23,131.92 and 9,311.20 is: 12,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.72 : 23,131.92 = 9,311.20 : x
  2. Step 2: Convert to fraction form
    16,762.72/23,131.92 = 9,311.20/x
  3. Step 3: Cross multiply
    16,762.72x = 23,131.92 × 9,311.20
  4. Step 4: Simplify right side
    16,762.72x = 215,385,933.50
  5. Step 5: Solve for x
    x = 215,385,933.50/16,762.72
  6. Step 6: Final answer
    x = 12,849.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.