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Finding the Fourth Proportional to 24,738.48, 37,114.20 and 12,258

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Solution

The fourth proportional to 24,738.48, 37,114.20 and 12,258 is: 18,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.48 : 37,114.20 = 12,258 : x
  2. Step 2: Convert to fraction form
    24,738.48/37,114.20 = 12,258/x
  3. Step 3: Cross multiply
    24,738.48x = 37,114.20 × 12,258
  4. Step 4: Simplify right side
    24,738.48x = 454,945,863.60
  5. Step 5: Solve for x
    x = 454,945,863.60/24,738.48
  6. Step 6: Final answer
    x = 18,390.21

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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.