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Finding the Fourth Proportional to 27,564.48, 41,344.46 and 8,839.46

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Solution

The fourth proportional to 27,564.48, 41,344.46 and 8,839.46 is: 13,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.48 : 41,344.46 = 8,839.46 : x
  2. Step 2: Convert to fraction form
    27,564.48/41,344.46 = 8,839.46/x
  3. Step 3: Cross multiply
    27,564.48x = 41,344.46 × 8,839.46
  4. Step 4: Simplify right side
    27,564.48x = 365,462,700.39
  5. Step 5: Solve for x
    x = 365,462,700.39/27,564.48
  6. Step 6: Final answer
    x = 13,258.47

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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.