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Finding the Fourth Proportional to 27,646.18, 41,469.26 and 6,869.68

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Solution

The fourth proportional to 27,646.18, 41,469.26 and 6,869.68 is: 10,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.18 : 41,469.26 = 6,869.68 : x
  2. Step 2: Convert to fraction form
    27,646.18/41,469.26 = 6,869.68/x
  3. Step 3: Cross multiply
    27,646.18x = 41,469.26 × 6,869.68
  4. Step 4: Simplify right side
    27,646.18x = 284,880,408.02
  5. Step 5: Solve for x
    x = 284,880,408.02/27,646.18
  6. Step 6: Final answer
    x = 10,304.51

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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.