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Finding the Fourth Proportional to 11,435.28, 17,122.83 and 9,202.20

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Solution

The fourth proportional to 11,435.28, 17,122.83 and 9,202.20 is: 13,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.28 : 17,122.83 = 9,202.20 : x
  2. Step 2: Convert to fraction form
    11,435.28/17,122.83 = 9,202.20/x
  3. Step 3: Cross multiply
    11,435.28x = 17,122.83 × 9,202.20
  4. Step 4: Simplify right side
    11,435.28x = 157,567,706.23
  5. Step 5: Solve for x
    x = 157,567,706.23/11,435.28
  6. Step 6: Final answer
    x = 13,779.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.