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Finding the Fourth Proportional to 12,287.60, 18,434.18 and 4,496.41

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Solution

The fourth proportional to 12,287.60, 18,434.18 and 4,496.41 is: 6,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.60 : 18,434.18 = 4,496.41 : x
  2. Step 2: Convert to fraction form
    12,287.60/18,434.18 = 4,496.41/x
  3. Step 3: Cross multiply
    12,287.60x = 18,434.18 × 4,496.41
  4. Step 4: Simplify right side
    12,287.60x = 82,887,631.29
  5. Step 5: Solve for x
    x = 82,887,631.29/12,287.60
  6. Step 6: Final answer
    x = 6,745.63

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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.