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Finding the Fourth Proportional to 12,442.24, 18,661.20 and 4,649.44

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Solution

The fourth proportional to 12,442.24, 18,661.20 and 4,649.44 is: 6,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.24 : 18,661.20 = 4,649.44 : x
  2. Step 2: Convert to fraction form
    12,442.24/18,661.20 = 4,649.44/x
  3. Step 3: Cross multiply
    12,442.24x = 18,661.20 × 4,649.44
  4. Step 4: Simplify right side
    12,442.24x = 86,764,129.73
  5. Step 5: Solve for x
    x = 86,764,129.73/12,442.24
  6. Step 6: Final answer
    x = 6,973.35

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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.