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Finding the Fourth Proportional to 27,424.18, 41,135.91 and 6,647.86

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Solution

The fourth proportional to 27,424.18, 41,135.91 and 6,647.86 is: 9,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.18 : 41,135.91 = 6,647.86 : x
  2. Step 2: Convert to fraction form
    27,424.18/41,135.91 = 6,647.86/x
  3. Step 3: Cross multiply
    27,424.18x = 41,135.91 × 6,647.86
  4. Step 4: Simplify right side
    27,424.18x = 273,465,770.65
  5. Step 5: Solve for x
    x = 273,465,770.65/27,424.18
  6. Step 6: Final answer
    x = 9,971.70

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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.