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Finding the Fourth Proportional to 21,078.44, 31,602.28 and 12,181.22

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Solution

The fourth proportional to 21,078.44, 31,602.28 and 12,181.22 is: 18,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.44 : 31,602.28 = 12,181.22 : x
  2. Step 2: Convert to fraction form
    21,078.44/31,602.28 = 12,181.22/x
  3. Step 3: Cross multiply
    21,078.44x = 31,602.28 × 12,181.22
  4. Step 4: Simplify right side
    21,078.44x = 384,954,325.18
  5. Step 5: Solve for x
    x = 384,954,325.18/21,078.44
  6. Step 6: Final answer
    x = 18,262.94

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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.