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Finding the Fourth Proportional to 16,232.75, 22,401.20 and 8,780.75

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Solution

The fourth proportional to 16,232.75, 22,401.20 and 8,780.75 is: 12,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.75 : 22,401.20 = 8,780.75 : x
  2. Step 2: Convert to fraction form
    16,232.75/22,401.20 = 8,780.75/x
  3. Step 3: Cross multiply
    16,232.75x = 22,401.20 × 8,780.75
  4. Step 4: Simplify right side
    16,232.75x = 196,699,336.90
  5. Step 5: Solve for x
    x = 196,699,336.90/16,232.75
  6. Step 6: Final answer
    x = 12,117.44

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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.