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Finding the Fourth Proportional to 13,919.84, 20,869.44 and 5,153.12

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Solution

The fourth proportional to 13,919.84, 20,869.44 and 5,153.12 is: 7,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.84 : 20,869.44 = 5,153.12 : x
  2. Step 2: Convert to fraction form
    13,919.84/20,869.44 = 5,153.12/x
  3. Step 3: Cross multiply
    13,919.84x = 20,869.44 × 5,153.12
  4. Step 4: Simplify right side
    13,919.84x = 107,542,728.65
  5. Step 5: Solve for x
    x = 107,542,728.65/13,919.84
  6. Step 6: Final answer
    x = 7,725.86

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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.