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Finding the Fourth Proportional to 20,533.36, 30,801.98 and 5,742.28

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Solution

The fourth proportional to 20,533.36, 30,801.98 and 5,742.28 is: 8,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.36 : 30,801.98 = 5,742.28 : x
  2. Step 2: Convert to fraction form
    20,533.36/30,801.98 = 5,742.28/x
  3. Step 3: Cross multiply
    20,533.36x = 30,801.98 × 5,742.28
  4. Step 4: Simplify right side
    20,533.36x = 176,873,593.71
  5. Step 5: Solve for x
    x = 176,873,593.71/20,533.36
  6. Step 6: Final answer
    x = 8,613.96

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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.