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Finding the Fourth Proportional to 21,057.98, 29,064.89 and 13,889.17

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Solution

The fourth proportional to 21,057.98, 29,064.89 and 13,889.17 is: 19,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.98 : 29,064.89 = 13,889.17 : x
  2. Step 2: Convert to fraction form
    21,057.98/29,064.89 = 13,889.17/x
  3. Step 3: Cross multiply
    21,057.98x = 29,064.89 × 13,889.17
  4. Step 4: Simplify right side
    21,057.98x = 403,687,269.30
  5. Step 5: Solve for x
    x = 403,687,269.30/21,057.98
  6. Step 6: Final answer
    x = 19,170.28

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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.