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Finding the Fourth Proportional to 12,289.66, 18,422.82 and 7,834.82

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Solution

The fourth proportional to 12,289.66, 18,422.82 and 7,834.82 is: 11,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.66 : 18,422.82 = 7,834.82 : x
  2. Step 2: Convert to fraction form
    12,289.66/18,422.82 = 7,834.82/x
  3. Step 3: Cross multiply
    12,289.66x = 18,422.82 × 7,834.82
  4. Step 4: Simplify right side
    12,289.66x = 144,339,439.42
  5. Step 5: Solve for x
    x = 144,339,439.42/12,289.66
  6. Step 6: Final answer
    x = 11,744.79

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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.