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Finding the Fourth Proportional to 21,649.31, 29,878.50 and 12,217.13

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Solution

The fourth proportional to 21,649.31, 29,878.50 and 12,217.13 is: 16,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.31 : 29,878.50 = 12,217.13 : x
  2. Step 2: Convert to fraction form
    21,649.31/29,878.50 = 12,217.13/x
  3. Step 3: Cross multiply
    21,649.31x = 29,878.50 × 12,217.13
  4. Step 4: Simplify right side
    21,649.31x = 365,029,369.31
  5. Step 5: Solve for x
    x = 365,029,369.31/21,649.31
  6. Step 6: Final answer
    x = 16,861.02

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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.