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Finding the Fourth Proportional to 13,211.46, 19,817.24 and 3,216.24

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Solution

The fourth proportional to 13,211.46, 19,817.24 and 3,216.24 is: 4,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.46 : 19,817.24 = 3,216.24 : x
  2. Step 2: Convert to fraction form
    13,211.46/19,817.24 = 3,216.24/x
  3. Step 3: Cross multiply
    13,211.46x = 19,817.24 × 3,216.24
  4. Step 4: Simplify right side
    13,211.46x = 63,736,983.90
  5. Step 5: Solve for x
    x = 63,736,983.90/13,211.46
  6. Step 6: Final answer
    x = 4,824.37

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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.