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Finding the Fourth Proportional to 12,338.86, 18,509.20 and 3,907.30

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Solution

The fourth proportional to 12,338.86, 18,509.20 and 3,907.30 is: 5,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.86 : 18,509.20 = 3,907.30 : x
  2. Step 2: Convert to fraction form
    12,338.86/18,509.20 = 3,907.30/x
  3. Step 3: Cross multiply
    12,338.86x = 18,509.20 × 3,907.30
  4. Step 4: Simplify right side
    12,338.86x = 72,320,997.16
  5. Step 5: Solve for x
    x = 72,320,997.16/12,338.86
  6. Step 6: Final answer
    x = 5,861.24

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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.