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Finding the Fourth Proportional to 18,749.40, 28,124.61 and 8,214

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Solution

The fourth proportional to 18,749.40, 28,124.61 and 8,214 is: 12,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,749.40 : 28,124.61 = 8,214 : x
  2. Step 2: Convert to fraction form
    18,749.40/28,124.61 = 8,214/x
  3. Step 3: Cross multiply
    18,749.40x = 28,124.61 × 8,214
  4. Step 4: Simplify right side
    18,749.40x = 231,015,546.54
  5. Step 5: Solve for x
    x = 231,015,546.54/18,749.40
  6. Step 6: Final answer
    x = 12,321.22

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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.