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Finding the Fourth Proportional to 25,548.82, 35,257.10 and 14,218.12

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Solution

The fourth proportional to 25,548.82, 35,257.10 and 14,218.12 is: 19,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.82 : 35,257.10 = 14,218.12 : x
  2. Step 2: Convert to fraction form
    25,548.82/35,257.10 = 14,218.12/x
  3. Step 3: Cross multiply
    25,548.82x = 35,257.10 × 14,218.12
  4. Step 4: Simplify right side
    25,548.82x = 501,289,626.05
  5. Step 5: Solve for x
    x = 501,289,626.05/25,548.82
  6. Step 6: Final answer
    x = 19,620.85

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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.