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Finding the Fourth Proportional to 12,537.92, 18,806.91 and 3,177.94

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Solution

The fourth proportional to 12,537.92, 18,806.91 and 3,177.94 is: 4,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.92 : 18,806.91 = 3,177.94 : x
  2. Step 2: Convert to fraction form
    12,537.92/18,806.91 = 3,177.94/x
  3. Step 3: Cross multiply
    12,537.92x = 18,806.91 × 3,177.94
  4. Step 4: Simplify right side
    12,537.92x = 59,767,172.63
  5. Step 5: Solve for x
    x = 59,767,172.63/12,537.92
  6. Step 6: Final answer
    x = 4,766.91

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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.