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Finding the Fourth Proportional to 14,311.91, 21,466.77 and 7,287.53

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Solution

The fourth proportional to 14,311.91, 21,466.77 and 7,287.53 is: 10,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.91 : 21,466.77 = 7,287.53 : x
  2. Step 2: Convert to fraction form
    14,311.91/21,466.77 = 7,287.53/x
  3. Step 3: Cross multiply
    14,311.91x = 21,466.77 × 7,287.53
  4. Step 4: Simplify right side
    14,311.91x = 156,439,623.04
  5. Step 5: Solve for x
    x = 156,439,623.04/14,311.91
  6. Step 6: Final answer
    x = 10,930.73

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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.