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Finding the Fourth Proportional to 16,213.46, 24,311.88 and 7,440.75

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Solution

The fourth proportional to 16,213.46, 24,311.88 and 7,440.75 is: 11,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.46 : 24,311.88 = 7,440.75 : x
  2. Step 2: Convert to fraction form
    16,213.46/24,311.88 = 7,440.75/x
  3. Step 3: Cross multiply
    16,213.46x = 24,311.88 × 7,440.75
  4. Step 4: Simplify right side
    16,213.46x = 180,898,621.11
  5. Step 5: Solve for x
    x = 180,898,621.11/16,213.46
  6. Step 6: Final answer
    x = 11,157.31

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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.