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Finding the Fourth Proportional to 13,142.66, 18,136.17 and 7,477.25

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Solution

The fourth proportional to 13,142.66, 18,136.17 and 7,477.25 is: 10,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.66 : 18,136.17 = 7,477.25 : x
  2. Step 2: Convert to fraction form
    13,142.66/18,136.17 = 7,477.25/x
  3. Step 3: Cross multiply
    13,142.66x = 18,136.17 × 7,477.25
  4. Step 4: Simplify right side
    13,142.66x = 135,608,586.45
  5. Step 5: Solve for x
    x = 135,608,586.45/13,142.66
  6. Step 6: Final answer
    x = 10,318.20

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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.