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Finding the Fourth Proportional to 12,544.92, 18,817.77 and 4,649.41

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Solution

The fourth proportional to 12,544.92, 18,817.77 and 4,649.41 is: 6,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.92 : 18,817.77 = 4,649.41 : x
  2. Step 2: Convert to fraction form
    12,544.92/18,817.77 = 4,649.41/x
  3. Step 3: Cross multiply
    12,544.92x = 18,817.77 × 4,649.41
  4. Step 4: Simplify right side
    12,544.92x = 87,491,509.51
  5. Step 5: Solve for x
    x = 87,491,509.51/12,544.92
  6. Step 6: Final answer
    x = 6,974.26

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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.