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Finding the Fourth Proportional to 22,091.28, 33,137.16 and 6,509.20

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Solution

The fourth proportional to 22,091.28, 33,137.16 and 6,509.20 is: 9,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,091.28 : 33,137.16 = 6,509.20 : x
  2. Step 2: Convert to fraction form
    22,091.28/33,137.16 = 6,509.20/x
  3. Step 3: Cross multiply
    22,091.28x = 33,137.16 × 6,509.20
  4. Step 4: Simplify right side
    22,091.28x = 215,696,401.87
  5. Step 5: Solve for x
    x = 215,696,401.87/22,091.28
  6. Step 6: Final answer
    x = 9,763.87

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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.