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Finding the Fourth Proportional to 16,181.21, 22,325.71 and 9,468.49

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Solution

The fourth proportional to 16,181.21, 22,325.71 and 9,468.49 is: 13,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.21 : 22,325.71 = 9,468.49 : x
  2. Step 2: Convert to fraction form
    16,181.21/22,325.71 = 9,468.49/x
  3. Step 3: Cross multiply
    16,181.21x = 22,325.71 × 9,468.49
  4. Step 4: Simplify right side
    16,181.21x = 211,390,761.88
  5. Step 5: Solve for x
    x = 211,390,761.88/16,181.21
  6. Step 6: Final answer
    x = 13,063.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.