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Finding the Fourth Proportional to 20,338.56, 30,507.66 and 7,187.76

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Solution

The fourth proportional to 20,338.56, 30,507.66 and 7,187.76 is: 10,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.56 : 30,507.66 = 7,187.76 : x
  2. Step 2: Convert to fraction form
    20,338.56/30,507.66 = 7,187.76/x
  3. Step 3: Cross multiply
    20,338.56x = 30,507.66 × 7,187.76
  4. Step 4: Simplify right side
    20,338.56x = 219,281,738.24
  5. Step 5: Solve for x
    x = 219,281,738.24/20,338.56
  6. Step 6: Final answer
    x = 10,781.58

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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.