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Finding the Fourth Proportional to 27,853.65, 41,780.67 and 8,145.93

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Solution

The fourth proportional to 27,853.65, 41,780.67 and 8,145.93 is: 12,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.65 : 41,780.67 = 8,145.93 : x
  2. Step 2: Convert to fraction form
    27,853.65/41,780.67 = 8,145.93/x
  3. Step 3: Cross multiply
    27,853.65x = 41,780.67 × 8,145.93
  4. Step 4: Simplify right side
    27,853.65x = 340,342,413.17
  5. Step 5: Solve for x
    x = 340,342,413.17/27,853.65
  6. Step 6: Final answer
    x = 12,218.95

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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.