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Finding the Fourth Proportional to 25,859.82, 38,792.77 and 9,222.22

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Solution

The fourth proportional to 25,859.82, 38,792.77 and 9,222.22 is: 13,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.82 : 38,792.77 = 9,222.22 : x
  2. Step 2: Convert to fraction form
    25,859.82/38,792.77 = 9,222.22/x
  3. Step 3: Cross multiply
    25,859.82x = 38,792.77 × 9,222.22
  4. Step 4: Simplify right side
    25,859.82x = 357,755,339.31
  5. Step 5: Solve for x
    x = 357,755,339.31/25,859.82
  6. Step 6: Final answer
    x = 13,834.41

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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.