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Finding the Fourth Proportional to 12,906.59, 19,358.37 and 4,022.57

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Solution

The fourth proportional to 12,906.59, 19,358.37 and 4,022.57 is: 6,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.59 : 19,358.37 = 4,022.57 : x
  2. Step 2: Convert to fraction form
    12,906.59/19,358.37 = 4,022.57/x
  3. Step 3: Cross multiply
    12,906.59x = 19,358.37 × 4,022.57
  4. Step 4: Simplify right side
    12,906.59x = 77,870,446.81
  5. Step 5: Solve for x
    x = 77,870,446.81/12,906.59
  6. Step 6: Final answer
    x = 6,033.39

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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.