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Finding the Fourth Proportional to 25,107.84, 34,649.46 and 13,777.82

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Solution

The fourth proportional to 25,107.84, 34,649.46 and 13,777.82 is: 19,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.84 : 34,649.46 = 13,777.82 : x
  2. Step 2: Convert to fraction form
    25,107.84/34,649.46 = 13,777.82/x
  3. Step 3: Cross multiply
    25,107.84x = 34,649.46 × 13,777.82
  4. Step 4: Simplify right side
    25,107.84x = 477,394,022.98
  5. Step 5: Solve for x
    x = 477,394,022.98/25,107.84
  6. Step 6: Final answer
    x = 19,013.74

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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.