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Finding the Fourth Proportional to 20,224.50, 30,336.76 and 5,632.50

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Solution

The fourth proportional to 20,224.50, 30,336.76 and 5,632.50 is: 8,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.50 : 30,336.76 = 5,632.50 : x
  2. Step 2: Convert to fraction form
    20,224.50/30,336.76 = 5,632.50/x
  3. Step 3: Cross multiply
    20,224.50x = 30,336.76 × 5,632.50
  4. Step 4: Simplify right side
    20,224.50x = 170,871,800.70
  5. Step 5: Solve for x
    x = 170,871,800.70/20,224.50
  6. Step 6: Final answer
    x = 8,448.75

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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.