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Finding the Fourth Proportional to 13,624.50, 18,801.96 and 7,963.14

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Solution

The fourth proportional to 13,624.50, 18,801.96 and 7,963.14 is: 10,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.50 : 18,801.96 = 7,963.14 : x
  2. Step 2: Convert to fraction form
    13,624.50/18,801.96 = 7,963.14/x
  3. Step 3: Cross multiply
    13,624.50x = 18,801.96 × 7,963.14
  4. Step 4: Simplify right side
    13,624.50x = 149,722,639.75
  5. Step 5: Solve for x
    x = 149,722,639.75/13,624.50
  6. Step 6: Final answer
    x = 10,989.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.