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Finding the Fourth Proportional to 17,564.47, 26,348.42 and 5,084.22

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Solution

The fourth proportional to 17,564.47, 26,348.42 and 5,084.22 is: 7,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.47 : 26,348.42 = 5,084.22 : x
  2. Step 2: Convert to fraction form
    17,564.47/26,348.42 = 5,084.22/x
  3. Step 3: Cross multiply
    17,564.47x = 26,348.42 × 5,084.22
  4. Step 4: Simplify right side
    17,564.47x = 133,961,163.93
  5. Step 5: Solve for x
    x = 133,961,163.93/17,564.47
  6. Step 6: Final answer
    x = 7,626.83

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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.