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Finding the Fourth Proportional to 20,098.10, 27,735 and 11,023.50

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Solution

The fourth proportional to 20,098.10, 27,735 and 11,023.50 is: 15,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.10 : 27,735 = 11,023.50 : x
  2. Step 2: Convert to fraction form
    20,098.10/27,735 = 11,023.50/x
  3. Step 3: Cross multiply
    20,098.10x = 27,735 × 11,023.50
  4. Step 4: Simplify right side
    20,098.10x = 305,736,772.50
  5. Step 5: Solve for x
    x = 305,736,772.50/20,098.10
  6. Step 6: Final answer
    x = 15,212.22

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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.