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Finding the Fourth Proportional to 13,142.64, 18,136.80 and 7,837.68

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Solution

The fourth proportional to 13,142.64, 18,136.80 and 7,837.68 is: 10,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.64 : 18,136.80 = 7,837.68 : x
  2. Step 2: Convert to fraction form
    13,142.64/18,136.80 = 7,837.68/x
  3. Step 3: Cross multiply
    13,142.64x = 18,136.80 × 7,837.68
  4. Step 4: Simplify right side
    13,142.64x = 142,150,434.62
  5. Step 5: Solve for x
    x = 142,150,434.62/13,142.64
  6. Step 6: Final answer
    x = 10,815.97

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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.