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Finding the Fourth Proportional to 20,064.54, 30,099.24 and 9,669

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Solution

The fourth proportional to 20,064.54, 30,099.24 and 9,669 is: 14,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.54 : 30,099.24 = 9,669 : x
  2. Step 2: Convert to fraction form
    20,064.54/30,099.24 = 9,669/x
  3. Step 3: Cross multiply
    20,064.54x = 30,099.24 × 9,669
  4. Step 4: Simplify right side
    20,064.54x = 291,029,551.56
  5. Step 5: Solve for x
    x = 291,029,551.56/20,064.54
  6. Step 6: Final answer
    x = 14,504.67

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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.