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Finding the Fourth Proportional to 13,419.95, 20,114.73 and 6,832.22

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Solution

The fourth proportional to 13,419.95, 20,114.73 and 6,832.22 is: 10,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.95 : 20,114.73 = 6,832.22 : x
  2. Step 2: Convert to fraction form
    13,419.95/20,114.73 = 6,832.22/x
  3. Step 3: Cross multiply
    13,419.95x = 20,114.73 × 6,832.22
  4. Step 4: Simplify right side
    13,419.95x = 137,428,160.03
  5. Step 5: Solve for x
    x = 137,428,160.03/13,419.95
  6. Step 6: Final answer
    x = 10,240.59

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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.