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Finding the Fourth Proportional to 27,599.60, 41,399.40 and 6,823.10

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Solution

The fourth proportional to 27,599.60, 41,399.40 and 6,823.10 is: 10,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.60 : 41,399.40 = 6,823.10 : x
  2. Step 2: Convert to fraction form
    27,599.60/41,399.40 = 6,823.10/x
  3. Step 3: Cross multiply
    27,599.60x = 41,399.40 × 6,823.10
  4. Step 4: Simplify right side
    27,599.60x = 282,472,246.14
  5. Step 5: Solve for x
    x = 282,472,246.14/27,599.60
  6. Step 6: Final answer
    x = 10,234.65

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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.