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Finding the Fourth Proportional to 13,162.53, 18,158.09 and 7,781.34

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Solution

The fourth proportional to 13,162.53, 18,158.09 and 7,781.34 is: 10,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.53 : 18,158.09 = 7,781.34 : x
  2. Step 2: Convert to fraction form
    13,162.53/18,158.09 = 7,781.34/x
  3. Step 3: Cross multiply
    13,162.53x = 18,158.09 × 7,781.34
  4. Step 4: Simplify right side
    13,162.53x = 141,294,233.13
  5. Step 5: Solve for x
    x = 141,294,233.13/13,162.53
  6. Step 6: Final answer
    x = 10,734.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.