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Finding the Fourth Proportional to 16,165.27, 24,247.86 and 6,311.45

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Solution

The fourth proportional to 16,165.27, 24,247.86 and 6,311.45 is: 9,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.27 : 24,247.86 = 6,311.45 : x
  2. Step 2: Convert to fraction form
    16,165.27/24,247.86 = 6,311.45/x
  3. Step 3: Cross multiply
    16,165.27x = 24,247.86 × 6,311.45
  4. Step 4: Simplify right side
    16,165.27x = 153,039,192.95
  5. Step 5: Solve for x
    x = 153,039,192.95/16,165.27
  6. Step 6: Final answer
    x = 9,467.16

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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.