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Finding the Fourth Proportional to 20,218.67, 30,323.81 and 5,424.07

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Solution

The fourth proportional to 20,218.67, 30,323.81 and 5,424.07 is: 8,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.67 : 30,323.81 = 5,424.07 : x
  2. Step 2: Convert to fraction form
    20,218.67/30,323.81 = 5,424.07/x
  3. Step 3: Cross multiply
    20,218.67x = 30,323.81 × 5,424.07
  4. Step 4: Simplify right side
    20,218.67x = 164,478,468.11
  5. Step 5: Solve for x
    x = 164,478,468.11/20,218.67
  6. Step 6: Final answer
    x = 8,134.98

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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.