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Finding the Fourth Proportional to 29,716.74, 44,558.10 and 12,177

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Solution

The fourth proportional to 29,716.74, 44,558.10 and 12,177 is: 18,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.74 : 44,558.10 = 12,177 : x
  2. Step 2: Convert to fraction form
    29,716.74/44,558.10 = 12,177/x
  3. Step 3: Cross multiply
    29,716.74x = 44,558.10 × 12,177
  4. Step 4: Simplify right side
    29,716.74x = 542,583,983.70
  5. Step 5: Solve for x
    x = 542,583,983.70/29,716.74
  6. Step 6: Final answer
    x = 18,258.53

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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.