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Finding the Fourth Proportional to 12,410.72, 18,615.17 and 3,646.32

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Solution

The fourth proportional to 12,410.72, 18,615.17 and 3,646.32 is: 5,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.72 : 18,615.17 = 3,646.32 : x
  2. Step 2: Convert to fraction form
    12,410.72/18,615.17 = 3,646.32/x
  3. Step 3: Cross multiply
    12,410.72x = 18,615.17 × 3,646.32
  4. Step 4: Simplify right side
    12,410.72x = 67,876,866.67
  5. Step 5: Solve for x
    x = 67,876,866.67/12,410.72
  6. Step 6: Final answer
    x = 5,469.21

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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.