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Finding the Fourth Proportional to 21,258.81, 31,894.38 and 8,112.24

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Solution

The fourth proportional to 21,258.81, 31,894.38 and 8,112.24 is: 12,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.81 : 31,894.38 = 8,112.24 : x
  2. Step 2: Convert to fraction form
    21,258.81/31,894.38 = 8,112.24/x
  3. Step 3: Cross multiply
    21,258.81x = 31,894.38 × 8,112.24
  4. Step 4: Simplify right side
    21,258.81x = 258,734,865.21
  5. Step 5: Solve for x
    x = 258,734,865.21/21,258.81
  6. Step 6: Final answer
    x = 12,170.71

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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.