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Finding the Fourth Proportional to 12,340.96, 18,500.24 and 6,410.92

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Solution

The fourth proportional to 12,340.96, 18,500.24 and 6,410.92 is: 9,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.96 : 18,500.24 = 6,410.92 : x
  2. Step 2: Convert to fraction form
    12,340.96/18,500.24 = 6,410.92/x
  3. Step 3: Cross multiply
    12,340.96x = 18,500.24 × 6,410.92
  4. Step 4: Simplify right side
    12,340.96x = 118,603,466.12
  5. Step 5: Solve for x
    x = 118,603,466.12/12,340.96
  6. Step 6: Final answer
    x = 9,610.55

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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.