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Finding the Fourth Proportional to 16,223.75, 22,388.77 and 9,150.15

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Solution

The fourth proportional to 16,223.75, 22,388.77 and 9,150.15 is: 12,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.75 : 22,388.77 = 9,150.15 : x
  2. Step 2: Convert to fraction form
    16,223.75/22,388.77 = 9,150.15/x
  3. Step 3: Cross multiply
    16,223.75x = 22,388.77 × 9,150.15
  4. Step 4: Simplify right side
    16,223.75x = 204,860,603.82
  5. Step 5: Solve for x
    x = 204,860,603.82/16,223.75
  6. Step 6: Final answer
    x = 12,627.20

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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.