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Finding the Fourth Proportional to 20,024.50, 27,633.81 and 11,192.50

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Solution

The fourth proportional to 20,024.50, 27,633.81 and 11,192.50 is: 15,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.50 : 27,633.81 = 11,192.50 : x
  2. Step 2: Convert to fraction form
    20,024.50/27,633.81 = 11,192.50/x
  3. Step 3: Cross multiply
    20,024.50x = 27,633.81 × 11,192.50
  4. Step 4: Simplify right side
    20,024.50x = 309,291,418.43
  5. Step 5: Solve for x
    x = 309,291,418.43/20,024.50
  6. Step 6: Final answer
    x = 15,445.65

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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.