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Finding the Fourth Proportional to 19,294.14, 28,943.34 and 6,143.44

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Solution

The fourth proportional to 19,294.14, 28,943.34 and 6,143.44 is: 9,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.14 : 28,943.34 = 6,143.44 : x
  2. Step 2: Convert to fraction form
    19,294.14/28,943.34 = 6,143.44/x
  3. Step 3: Cross multiply
    19,294.14x = 28,943.34 × 6,143.44
  4. Step 4: Simplify right side
    19,294.14x = 177,811,672.69
  5. Step 5: Solve for x
    x = 177,811,672.69/19,294.14
  6. Step 6: Final answer
    x = 9,215.84

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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.