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Finding the Fourth Proportional to 27,882.36, 41,812.16 and 13,837.28

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Solution

The fourth proportional to 27,882.36, 41,812.16 and 13,837.28 is: 20,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.36 : 41,812.16 = 13,837.28 : x
  2. Step 2: Convert to fraction form
    27,882.36/41,812.16 = 13,837.28/x
  3. Step 3: Cross multiply
    27,882.36x = 41,812.16 × 13,837.28
  4. Step 4: Simplify right side
    27,882.36x = 578,566,287.08
  5. Step 5: Solve for x
    x = 578,566,287.08/27,882.36
  6. Step 6: Final answer
    x = 20,750.26

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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.