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Finding the Fourth Proportional to 27,216.75, 40,827.71 and 10,578.06

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Solution

The fourth proportional to 27,216.75, 40,827.71 and 10,578.06 is: 15,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216.75 : 40,827.71 = 10,578.06 : x
  2. Step 2: Convert to fraction form
    27,216.75/40,827.71 = 10,578.06/x
  3. Step 3: Cross multiply
    27,216.75x = 40,827.71 × 10,578.06
  4. Step 4: Simplify right side
    27,216.75x = 431,877,913.15
  5. Step 5: Solve for x
    x = 431,877,913.15/27,216.75
  6. Step 6: Final answer
    x = 15,868.09

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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.