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Finding the Fourth Proportional to 20,031.36, 27,643.04 and 11,078.16

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Solution

The fourth proportional to 20,031.36, 27,643.04 and 11,078.16 is: 15,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.36 : 27,643.04 = 11,078.16 : x
  2. Step 2: Convert to fraction form
    20,031.36/27,643.04 = 11,078.16/x
  3. Step 3: Cross multiply
    20,031.36x = 27,643.04 × 11,078.16
  4. Step 4: Simplify right side
    20,031.36x = 306,234,020.01
  5. Step 5: Solve for x
    x = 306,234,020.01/20,031.36
  6. Step 6: Final answer
    x = 15,287.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.