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Finding the Fourth Proportional to 12,338.02, 18,515.23 and 5,764.72

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Solution

The fourth proportional to 12,338.02, 18,515.23 and 5,764.72 is: 8,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.02 : 18,515.23 = 5,764.72 : x
  2. Step 2: Convert to fraction form
    12,338.02/18,515.23 = 5,764.72/x
  3. Step 3: Cross multiply
    12,338.02x = 18,515.23 × 5,764.72
  4. Step 4: Simplify right side
    12,338.02x = 106,735,100.75
  5. Step 5: Solve for x
    x = 106,735,100.75/12,338.02
  6. Step 6: Final answer
    x = 8,650.91

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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.