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Finding the Fourth Proportional to 20,224.13, 30,340.52 and 7,076.93

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Solution

The fourth proportional to 20,224.13, 30,340.52 and 7,076.93 is: 10,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.13 : 30,340.52 = 7,076.93 : x
  2. Step 2: Convert to fraction form
    20,224.13/30,340.52 = 7,076.93/x
  3. Step 3: Cross multiply
    20,224.13x = 30,340.52 × 7,076.93
  4. Step 4: Simplify right side
    20,224.13x = 214,717,736.20
  5. Step 5: Solve for x
    x = 214,717,736.20/20,224.13
  6. Step 6: Final answer
    x = 10,616.91

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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.