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Finding the Fourth Proportional to 21,181.78, 29,230.86 and 13,223.98

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Solution

The fourth proportional to 21,181.78, 29,230.86 and 13,223.98 is: 18,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.78 : 29,230.86 = 13,223.98 : x
  2. Step 2: Convert to fraction form
    21,181.78/29,230.86 = 13,223.98/x
  3. Step 3: Cross multiply
    21,181.78x = 29,230.86 × 13,223.98
  4. Step 4: Simplify right side
    21,181.78x = 386,548,308.02
  5. Step 5: Solve for x
    x = 386,548,308.02/21,181.78
  6. Step 6: Final answer
    x = 18,249.09

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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.