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Finding the Fourth Proportional to 12,137.34, 18,206.07 and 4,239.81

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Solution

The fourth proportional to 12,137.34, 18,206.07 and 4,239.81 is: 6,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.34 : 18,206.07 = 4,239.81 : x
  2. Step 2: Convert to fraction form
    12,137.34/18,206.07 = 4,239.81/x
  3. Step 3: Cross multiply
    12,137.34x = 18,206.07 × 4,239.81
  4. Step 4: Simplify right side
    12,137.34x = 77,190,277.65
  5. Step 5: Solve for x
    x = 77,190,277.65/12,137.34
  6. Step 6: Final answer
    x = 6,359.74

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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.