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Finding the Fourth Proportional to 20,308.32, 30,462.64 and 7,157.68

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Solution

The fourth proportional to 20,308.32, 30,462.64 and 7,157.68 is: 10,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.32 : 30,462.64 = 7,157.68 : x
  2. Step 2: Convert to fraction form
    20,308.32/30,462.64 = 7,157.68/x
  3. Step 3: Cross multiply
    20,308.32x = 30,462.64 × 7,157.68
  4. Step 4: Simplify right side
    20,308.32x = 218,041,829.08
  5. Step 5: Solve for x
    x = 218,041,829.08/20,308.32
  6. Step 6: Final answer
    x = 10,736.58

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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.