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Finding the Fourth Proportional to 13,544.61, 20,318.64 and 5,227

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Solution

The fourth proportional to 13,544.61, 20,318.64 and 5,227 is: 7,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.61 : 20,318.64 = 5,227 : x
  2. Step 2: Convert to fraction form
    13,544.61/20,318.64 = 5,227/x
  3. Step 3: Cross multiply
    13,544.61x = 20,318.64 × 5,227
  4. Step 4: Simplify right side
    13,544.61x = 106,205,531.28
  5. Step 5: Solve for x
    x = 106,205,531.28/13,544.61
  6. Step 6: Final answer
    x = 7,841.17

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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.