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Finding the Fourth Proportional to 25,902.39, 35,745.25 and 14,571.89

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Solution

The fourth proportional to 25,902.39, 35,745.25 and 14,571.89 is: 20,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.39 : 35,745.25 = 14,571.89 : x
  2. Step 2: Convert to fraction form
    25,902.39/35,745.25 = 14,571.89/x
  3. Step 3: Cross multiply
    25,902.39x = 35,745.25 × 14,571.89
  4. Step 4: Simplify right side
    25,902.39x = 520,875,778.16
  5. Step 5: Solve for x
    x = 520,875,778.16/25,902.39
  6. Step 6: Final answer
    x = 20,109.18

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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.