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Finding the Fourth Proportional to 27,833.69, 41,754.86 and 9,364.25

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Solution

The fourth proportional to 27,833.69, 41,754.86 and 9,364.25 is: 14,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.69 : 41,754.86 = 9,364.25 : x
  2. Step 2: Convert to fraction form
    27,833.69/41,754.86 = 9,364.25/x
  3. Step 3: Cross multiply
    27,833.69x = 41,754.86 × 9,364.25
  4. Step 4: Simplify right side
    27,833.69x = 391,002,947.76
  5. Step 5: Solve for x
    x = 391,002,947.76/27,833.69
  6. Step 6: Final answer
    x = 14,047.83

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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.