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Finding the Fourth Proportional to 12,649.18, 18,976 and 4,327.24

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Solution

The fourth proportional to 12,649.18, 18,976 and 4,327.24 is: 6,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.18 : 18,976 = 4,327.24 : x
  2. Step 2: Convert to fraction form
    12,649.18/18,976 = 4,327.24/x
  3. Step 3: Cross multiply
    12,649.18x = 18,976 × 4,327.24
  4. Step 4: Simplify right side
    12,649.18x = 82,113,706.24
  5. Step 5: Solve for x
    x = 82,113,706.24/12,649.18
  6. Step 6: Final answer
    x = 6,491.62

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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.