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Finding the Fourth Proportional to 27,833.68, 41,733.69 and 10,946.46

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Solution

The fourth proportional to 27,833.68, 41,733.69 and 10,946.46 is: 16,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.68 : 41,733.69 = 10,946.46 : x
  2. Step 2: Convert to fraction form
    27,833.68/41,733.69 = 10,946.46/x
  3. Step 3: Cross multiply
    27,833.68x = 41,733.69 × 10,946.46
  4. Step 4: Simplify right side
    27,833.68x = 456,836,168.24
  5. Step 5: Solve for x
    x = 456,836,168.24/27,833.68
  6. Step 6: Final answer
    x = 16,413.07

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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.