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Finding the Fourth Proportional to 20,438.48, 30,663.89 and 7,291.87

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Solution

The fourth proportional to 20,438.48, 30,663.89 and 7,291.87 is: 10,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.48 : 30,663.89 = 7,291.87 : x
  2. Step 2: Convert to fraction form
    20,438.48/30,663.89 = 7,291.87/x
  3. Step 3: Cross multiply
    20,438.48x = 30,663.89 × 7,291.87
  4. Step 4: Simplify right side
    20,438.48x = 223,597,099.57
  5. Step 5: Solve for x
    x = 223,597,099.57/20,438.48
  6. Step 6: Final answer
    x = 10,940.01

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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.