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Finding the Fourth Proportional to 27,827.66, 41,721.66 and 13,028.48

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Solution

The fourth proportional to 27,827.66, 41,721.66 and 13,028.48 is: 19,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.66 : 41,721.66 = 13,028.48 : x
  2. Step 2: Convert to fraction form
    27,827.66/41,721.66 = 13,028.48/x
  3. Step 3: Cross multiply
    27,827.66x = 41,721.66 × 13,028.48
  4. Step 4: Simplify right side
    27,827.66x = 543,569,812.88
  5. Step 5: Solve for x
    x = 543,569,812.88/27,827.66
  6. Step 6: Final answer
    x = 19,533.44

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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.