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Finding the Fourth Proportional to 20,532.36, 30,800.48 and 5,741.28

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Solution

The fourth proportional to 20,532.36, 30,800.48 and 5,741.28 is: 8,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.36 : 30,800.48 = 5,741.28 : x
  2. Step 2: Convert to fraction form
    20,532.36/30,800.48 = 5,741.28/x
  3. Step 3: Cross multiply
    20,532.36x = 30,800.48 × 5,741.28
  4. Step 4: Simplify right side
    20,532.36x = 176,834,057.82
  5. Step 5: Solve for x
    x = 176,834,057.82/20,532.36
  6. Step 6: Final answer
    x = 8,612.46

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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.