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Finding the Fourth Proportional to 27,740.70, 41,615.49 and 9,019.29

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Solution

The fourth proportional to 27,740.70, 41,615.49 and 9,019.29 is: 13,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.70 : 41,615.49 = 9,019.29 : x
  2. Step 2: Convert to fraction form
    27,740.70/41,615.49 = 9,019.29/x
  3. Step 3: Cross multiply
    27,740.70x = 41,615.49 × 9,019.29
  4. Step 4: Simplify right side
    27,740.70x = 375,342,172.80
  5. Step 5: Solve for x
    x = 375,342,172.80/27,740.70
  6. Step 6: Final answer
    x = 13,530.38

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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.