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Finding the Fourth Proportional to 12,436.48, 18,629.74 and 6,177.57

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Solution

The fourth proportional to 12,436.48, 18,629.74 and 6,177.57 is: 9,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.48 : 18,629.74 = 6,177.57 : x
  2. Step 2: Convert to fraction form
    12,436.48/18,629.74 = 6,177.57/x
  3. Step 3: Cross multiply
    12,436.48x = 18,629.74 × 6,177.57
  4. Step 4: Simplify right side
    12,436.48x = 115,086,522.93
  5. Step 5: Solve for x
    x = 115,086,522.93/12,436.48
  6. Step 6: Final answer
    x = 9,253.95

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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.