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Finding the Fourth Proportional to 20,430.28, 30,626.96 and 9,893.75

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Solution

The fourth proportional to 20,430.28, 30,626.96 and 9,893.75 is: 14,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.28 : 30,626.96 = 9,893.75 : x
  2. Step 2: Convert to fraction form
    20,430.28/30,626.96 = 9,893.75/x
  3. Step 3: Cross multiply
    20,430.28x = 30,626.96 × 9,893.75
  4. Step 4: Simplify right side
    20,430.28x = 303,015,338.55
  5. Step 5: Solve for x
    x = 303,015,338.55/20,430.28
  6. Step 6: Final answer
    x = 14,831.68

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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.