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Finding the Fourth Proportional to 13,536.14, 20,307.67 and 5,213.92

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Solution

The fourth proportional to 13,536.14, 20,307.67 and 5,213.92 is: 7,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.14 : 20,307.67 = 5,213.92 : x
  2. Step 2: Convert to fraction form
    13,536.14/20,307.67 = 5,213.92/x
  3. Step 3: Cross multiply
    13,536.14x = 20,307.67 × 5,213.92
  4. Step 4: Simplify right side
    13,536.14x = 105,882,617.54
  5. Step 5: Solve for x
    x = 105,882,617.54/13,536.14
  6. Step 6: Final answer
    x = 7,822.22

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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.