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Finding the Fourth Proportional to 12,741.50, 19,067.10 and 9,401.84

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Solution

The fourth proportional to 12,741.50, 19,067.10 and 9,401.84 is: 14,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.50 : 19,067.10 = 9,401.84 : x
  2. Step 2: Convert to fraction form
    12,741.50/19,067.10 = 9,401.84/x
  3. Step 3: Cross multiply
    12,741.50x = 19,067.10 × 9,401.84
  4. Step 4: Simplify right side
    12,741.50x = 179,265,823.46
  5. Step 5: Solve for x
    x = 179,265,823.46/12,741.50
  6. Step 6: Final answer
    x = 14,069.44

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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.