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Finding the Fourth Proportional to 23,142.99, 34,699.89 and 19,634.25

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Solution

The fourth proportional to 23,142.99, 34,699.89 and 19,634.25 is: 29,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.99 : 34,699.89 = 19,634.25 : x
  2. Step 2: Convert to fraction form
    23,142.99/34,699.89 = 19,634.25/x
  3. Step 3: Cross multiply
    23,142.99x = 34,699.89 × 19,634.25
  4. Step 4: Simplify right side
    23,142.99x = 681,306,315.23
  5. Step 5: Solve for x
    x = 681,306,315.23/23,142.99
  6. Step 6: Final answer
    x = 29,438.99

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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.