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Finding the Fourth Proportional to 13,815.34, 20,724.48 and 5,052.16

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Solution

The fourth proportional to 13,815.34, 20,724.48 and 5,052.16 is: 7,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.34 : 20,724.48 = 5,052.16 : x
  2. Step 2: Convert to fraction form
    13,815.34/20,724.48 = 5,052.16/x
  3. Step 3: Cross multiply
    13,815.34x = 20,724.48 × 5,052.16
  4. Step 4: Simplify right side
    13,815.34x = 104,703,388.88
  5. Step 5: Solve for x
    x = 104,703,388.88/13,815.34
  6. Step 6: Final answer
    x = 7,578.78

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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.