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Finding the Fourth Proportional to 13,431.68, 20,129.12 and 10,142.08

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Solution

The fourth proportional to 13,431.68, 20,129.12 and 10,142.08 is: 15,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.68 : 20,129.12 = 10,142.08 : x
  2. Step 2: Convert to fraction form
    13,431.68/20,129.12 = 10,142.08/x
  3. Step 3: Cross multiply
    13,431.68x = 20,129.12 × 10,142.08
  4. Step 4: Simplify right side
    13,431.68x = 204,151,145.37
  5. Step 5: Solve for x
    x = 204,151,145.37/13,431.68
  6. Step 6: Final answer
    x = 15,199.23

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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.