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Finding the Fourth Proportional to 20,110, 27,753.24 and 11,159.20

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Solution

The fourth proportional to 20,110, 27,753.24 and 11,159.20 is: 15,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 27,753.24 = 11,159.20 : x
  2. Step 2: Convert to fraction form
    20,110/27,753.24 = 11,159.20/x
  3. Step 3: Cross multiply
    20,110x = 27,753.24 × 11,159.20
  4. Step 4: Simplify right side
    20,110x = 309,703,955.81
  5. Step 5: Solve for x
    x = 309,703,955.81/20,110
  6. Step 6: Final answer
    x = 15,400.50

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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.