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Finding the Fourth Proportional to 27,806.43, 41,715.09 and 10,276.41

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Solution

The fourth proportional to 27,806.43, 41,715.09 and 10,276.41 is: 15,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.43 : 41,715.09 = 10,276.41 : x
  2. Step 2: Convert to fraction form
    27,806.43/41,715.09 = 10,276.41/x
  3. Step 3: Cross multiply
    27,806.43x = 41,715.09 × 10,276.41
  4. Step 4: Simplify right side
    27,806.43x = 428,681,368.03
  5. Step 5: Solve for x
    x = 428,681,368.03/27,806.43
  6. Step 6: Final answer
    x = 15,416.63

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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.