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Finding the Fourth Proportional to 20,023.50, 27,632.43 and 11,191.50

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Solution

The fourth proportional to 20,023.50, 27,632.43 and 11,191.50 is: 15,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.50 : 27,632.43 = 11,191.50 : x
  2. Step 2: Convert to fraction form
    20,023.50/27,632.43 = 11,191.50/x
  3. Step 3: Cross multiply
    20,023.50x = 27,632.43 × 11,191.50
  4. Step 4: Simplify right side
    20,023.50x = 309,248,340.35
  5. Step 5: Solve for x
    x = 309,248,340.35/20,023.50
  6. Step 6: Final answer
    x = 15,444.27

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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.