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Finding the Fourth Proportional to 22,471.76, 33,697.24 and 13,114.50

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Solution

The fourth proportional to 22,471.76, 33,697.24 and 13,114.50 is: 19,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.76 : 33,697.24 = 13,114.50 : x
  2. Step 2: Convert to fraction form
    22,471.76/33,697.24 = 13,114.50/x
  3. Step 3: Cross multiply
    22,471.76x = 33,697.24 × 13,114.50
  4. Step 4: Simplify right side
    22,471.76x = 441,922,453.98
  5. Step 5: Solve for x
    x = 441,922,453.98/22,471.76
  6. Step 6: Final answer
    x = 19,665.68

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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.