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Finding the Fourth Proportional to 12,682.49, 19,019.88 and 4,357.71

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Solution

The fourth proportional to 12,682.49, 19,019.88 and 4,357.71 is: 6,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.49 : 19,019.88 = 4,357.71 : x
  2. Step 2: Convert to fraction form
    12,682.49/19,019.88 = 4,357.71/x
  3. Step 3: Cross multiply
    12,682.49x = 19,019.88 × 4,357.71
  4. Step 4: Simplify right side
    12,682.49x = 82,883,121.27
  5. Step 5: Solve for x
    x = 82,883,121.27/12,682.49
  6. Step 6: Final answer
    x = 6,535.24

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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.