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Finding the Fourth Proportional to 19,286.74, 28,933.35 and 6,143.14

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Solution

The fourth proportional to 19,286.74, 28,933.35 and 6,143.14 is: 9,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.74 : 28,933.35 = 6,143.14 : x
  2. Step 2: Convert to fraction form
    19,286.74/28,933.35 = 6,143.14/x
  3. Step 3: Cross multiply
    19,286.74x = 28,933.35 × 6,143.14
  4. Step 4: Simplify right side
    19,286.74x = 177,741,619.72
  5. Step 5: Solve for x
    x = 177,741,619.72/19,286.74
  6. Step 6: Final answer
    x = 9,215.74

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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.