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Finding the Fourth Proportional to 25,902.22, 35,745.01 and 14,571.72

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Solution

The fourth proportional to 25,902.22, 35,745.01 and 14,571.72 is: 20,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.22 : 35,745.01 = 14,571.72 : x
  2. Step 2: Convert to fraction form
    25,902.22/35,745.01 = 14,571.72/x
  3. Step 3: Cross multiply
    25,902.22x = 35,745.01 × 14,571.72
  4. Step 4: Simplify right side
    25,902.22x = 520,866,277.12
  5. Step 5: Solve for x
    x = 520,866,277.12/25,902.22
  6. Step 6: Final answer
    x = 20,108.94

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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.