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Finding the Fourth Proportional to 20,992.64, 31,496.24 and 9,314.04

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Solution

The fourth proportional to 20,992.64, 31,496.24 and 9,314.04 is: 13,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.64 : 31,496.24 = 9,314.04 : x
  2. Step 2: Convert to fraction form
    20,992.64/31,496.24 = 9,314.04/x
  3. Step 3: Cross multiply
    20,992.64x = 31,496.24 × 9,314.04
  4. Step 4: Simplify right side
    20,992.64x = 293,357,239.21
  5. Step 5: Solve for x
    x = 293,357,239.21/20,992.64
  6. Step 6: Final answer
    x = 13,974.29

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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.