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Finding the Fourth Proportional to 25,201.50, 34,778.07 and 14,024.22

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Solution

The fourth proportional to 25,201.50, 34,778.07 and 14,024.22 is: 19,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.50 : 34,778.07 = 14,024.22 : x
  2. Step 2: Convert to fraction form
    25,201.50/34,778.07 = 14,024.22/x
  3. Step 3: Cross multiply
    25,201.50x = 34,778.07 × 14,024.22
  4. Step 4: Simplify right side
    25,201.50x = 487,735,304.86
  5. Step 5: Solve for x
    x = 487,735,304.86/25,201.50
  6. Step 6: Final answer
    x = 19,353.42

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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.