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Finding the Fourth Proportional to 12,224.76, 18,334.01 and 5,201.15

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Solution

The fourth proportional to 12,224.76, 18,334.01 and 5,201.15 is: 7,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.76 : 18,334.01 = 5,201.15 : x
  2. Step 2: Convert to fraction form
    12,224.76/18,334.01 = 5,201.15/x
  3. Step 3: Cross multiply
    12,224.76x = 18,334.01 × 5,201.15
  4. Step 4: Simplify right side
    12,224.76x = 95,357,818.44
  5. Step 5: Solve for x
    x = 95,357,818.44/12,224.76
  6. Step 6: Final answer
    x = 7,800.38

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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.