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Finding the Fourth Proportional to 20,151.64, 30,229.76 and 5,361.16

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Solution

The fourth proportional to 20,151.64, 30,229.76 and 5,361.16 is: 8,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.64 : 30,229.76 = 5,361.16 : x
  2. Step 2: Convert to fraction form
    20,151.64/30,229.76 = 5,361.16/x
  3. Step 3: Cross multiply
    20,151.64x = 30,229.76 × 5,361.16
  4. Step 4: Simplify right side
    20,151.64x = 162,066,580.12
  5. Step 5: Solve for x
    x = 162,066,580.12/20,151.64
  6. Step 6: Final answer
    x = 8,042.35

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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.