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Finding the Fourth Proportional to 11,435.32, 17,122.80 and 9,202.24

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Solution

The fourth proportional to 11,435.32, 17,122.80 and 9,202.24 is: 13,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.32 : 17,122.80 = 9,202.24 : x
  2. Step 2: Convert to fraction form
    11,435.32/17,122.80 = 9,202.24/x
  3. Step 3: Cross multiply
    11,435.32x = 17,122.80 × 9,202.24
  4. Step 4: Simplify right side
    11,435.32x = 157,568,115.07
  5. Step 5: Solve for x
    x = 157,568,115.07/11,435.32
  6. Step 6: Final answer
    x = 13,779.07

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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.