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Finding the Fourth Proportional to 12,682.66, 19,007.81 and 6,019.14

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Solution

The fourth proportional to 12,682.66, 19,007.81 and 6,019.14 is: 9,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.66 : 19,007.81 = 6,019.14 : x
  2. Step 2: Convert to fraction form
    12,682.66/19,007.81 = 6,019.14/x
  3. Step 3: Cross multiply
    12,682.66x = 19,007.81 × 6,019.14
  4. Step 4: Simplify right side
    12,682.66x = 114,410,767.10
  5. Step 5: Solve for x
    x = 114,410,767.10/12,682.66
  6. Step 6: Final answer
    x = 9,021.04

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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.