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Finding the Fourth Proportional to 12,134.92, 18,206.94 and 4,238.20

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Solution

The fourth proportional to 12,134.92, 18,206.94 and 4,238.20 is: 6,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.92 : 18,206.94 = 4,238.20 : x
  2. Step 2: Convert to fraction form
    12,134.92/18,206.94 = 4,238.20/x
  3. Step 3: Cross multiply
    12,134.92x = 18,206.94 × 4,238.20
  4. Step 4: Simplify right side
    12,134.92x = 77,164,653.11
  5. Step 5: Solve for x
    x = 77,164,653.11/12,134.92
  6. Step 6: Final answer
    x = 6,358.89

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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.