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Finding the Fourth Proportional to 13,343.31, 20,016.01 and 7,797.23

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Solution

The fourth proportional to 13,343.31, 20,016.01 and 7,797.23 is: 11,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.31 : 20,016.01 = 7,797.23 : x
  2. Step 2: Convert to fraction form
    13,343.31/20,016.01 = 7,797.23/x
  3. Step 3: Cross multiply
    13,343.31x = 20,016.01 × 7,797.23
  4. Step 4: Simplify right side
    13,343.31x = 156,069,394.67
  5. Step 5: Solve for x
    x = 156,069,394.67/13,343.31
  6. Step 6: Final answer
    x = 11,696.45

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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.