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Finding the Fourth Proportional to 21,142.74, 29,163.78 and 13,598.90

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Solution

The fourth proportional to 21,142.74, 29,163.78 and 13,598.90 is: 18,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.74 : 29,163.78 = 13,598.90 : x
  2. Step 2: Convert to fraction form
    21,142.74/29,163.78 = 13,598.90/x
  3. Step 3: Cross multiply
    21,142.74x = 29,163.78 × 13,598.90
  4. Step 4: Simplify right side
    21,142.74x = 396,595,327.84
  5. Step 5: Solve for x
    x = 396,595,327.84/21,142.74
  6. Step 6: Final answer
    x = 18,757.99

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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.