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Finding the Fourth Proportional to 20,143.78, 27,798.74 and 11,192.11

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Solution

The fourth proportional to 20,143.78, 27,798.74 and 11,192.11 is: 15,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.78 : 27,798.74 = 11,192.11 : x
  2. Step 2: Convert to fraction form
    20,143.78/27,798.74 = 11,192.11/x
  3. Step 3: Cross multiply
    20,143.78x = 27,798.74 × 11,192.11
  4. Step 4: Simplify right side
    20,143.78x = 311,126,555.94
  5. Step 5: Solve for x
    x = 311,126,555.94/20,143.78
  6. Step 6: Final answer
    x = 15,445.29

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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.