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Finding the Fourth Proportional to 12,906.36, 19,357.71 and 4,140.14

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Solution

The fourth proportional to 12,906.36, 19,357.71 and 4,140.14 is: 6,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.36 : 19,357.71 = 4,140.14 : x
  2. Step 2: Convert to fraction form
    12,906.36/19,357.71 = 4,140.14/x
  3. Step 3: Cross multiply
    12,906.36x = 19,357.71 × 4,140.14
  4. Step 4: Simplify right side
    12,906.36x = 80,143,532.69
  5. Step 5: Solve for x
    x = 80,143,532.69/12,906.36
  6. Step 6: Final answer
    x = 6,209.62

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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.