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Finding the Fourth Proportional to 25,259.67, 37,894.91 and 9,677.25

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Solution

The fourth proportional to 25,259.67, 37,894.91 and 9,677.25 is: 14,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,259.67 : 37,894.91 = 9,677.25 : x
  2. Step 2: Convert to fraction form
    25,259.67/37,894.91 = 9,677.25/x
  3. Step 3: Cross multiply
    25,259.67x = 37,894.91 × 9,677.25
  4. Step 4: Simplify right side
    25,259.67x = 366,718,469.41
  5. Step 5: Solve for x
    x = 366,718,469.41/25,259.67
  6. Step 6: Final answer
    x = 14,517.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.