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Finding the Fourth Proportional to 20,175.18, 27,842.04 and 11,223.48

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Solution

The fourth proportional to 20,175.18, 27,842.04 and 11,223.48 is: 15,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.18 : 27,842.04 = 11,223.48 : x
  2. Step 2: Convert to fraction form
    20,175.18/27,842.04 = 11,223.48/x
  3. Step 3: Cross multiply
    20,175.18x = 27,842.04 × 11,223.48
  4. Step 4: Simplify right side
    20,175.18x = 312,484,579.10
  5. Step 5: Solve for x
    x = 312,484,579.10/20,175.18
  6. Step 6: Final answer
    x = 15,488.56

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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.