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Finding the Fourth Proportional to 16,000.72, 23,970.36 and 12,474.24

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Solution

The fourth proportional to 16,000.72, 23,970.36 and 12,474.24 is: 18,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.72 : 23,970.36 = 12,474.24 : x
  2. Step 2: Convert to fraction form
    16,000.72/23,970.36 = 12,474.24/x
  3. Step 3: Cross multiply
    16,000.72x = 23,970.36 × 12,474.24
  4. Step 4: Simplify right side
    16,000.72x = 299,012,023.53
  5. Step 5: Solve for x
    x = 299,012,023.53/16,000.72
  6. Step 6: Final answer
    x = 18,687.41

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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.