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Finding the Fourth Proportional to 13,716.16, 20,528.16 and 7,864

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Solution

The fourth proportional to 13,716.16, 20,528.16 and 7,864 is: 11,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.16 : 20,528.16 = 7,864 : x
  2. Step 2: Convert to fraction form
    13,716.16/20,528.16 = 7,864/x
  3. Step 3: Cross multiply
    13,716.16x = 20,528.16 × 7,864
  4. Step 4: Simplify right side
    13,716.16x = 161,433,450.24
  5. Step 5: Solve for x
    x = 161,433,450.24/13,716.16
  6. Step 6: Final answer
    x = 11,769.58

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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.