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Finding the Fourth Proportional to 27,599.10, 41,398.65 and 6,822.60

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Solution

The fourth proportional to 27,599.10, 41,398.65 and 6,822.60 is: 10,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.10 : 41,398.65 = 6,822.60 : x
  2. Step 2: Convert to fraction form
    27,599.10/41,398.65 = 6,822.60/x
  3. Step 3: Cross multiply
    27,599.10x = 41,398.65 × 6,822.60
  4. Step 4: Simplify right side
    27,599.10x = 282,446,429.49
  5. Step 5: Solve for x
    x = 282,446,429.49/27,599.10
  6. Step 6: Final answer
    x = 10,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.