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Finding the Fourth Proportional to 13,142.94, 19,679.85 and 10,067.10

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Solution

The fourth proportional to 13,142.94, 19,679.85 and 10,067.10 is: 15,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.94 : 19,679.85 = 10,067.10 : x
  2. Step 2: Convert to fraction form
    13,142.94/19,679.85 = 10,067.10/x
  3. Step 3: Cross multiply
    13,142.94x = 19,679.85 × 10,067.10
  4. Step 4: Simplify right side
    13,142.94x = 198,119,017.94
  5. Step 5: Solve for x
    x = 198,119,017.94/13,142.94
  6. Step 6: Final answer
    x = 15,074.18

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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.