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Finding the Fourth Proportional to 22,022.16, 33,035.85 and 7,232.76

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Solution

The fourth proportional to 22,022.16, 33,035.85 and 7,232.76 is: 10,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.16 : 33,035.85 = 7,232.76 : x
  2. Step 2: Convert to fraction form
    22,022.16/33,035.85 = 7,232.76/x
  3. Step 3: Cross multiply
    22,022.16x = 33,035.85 × 7,232.76
  4. Step 4: Simplify right side
    22,022.16x = 238,940,374.45
  5. Step 5: Solve for x
    x = 238,940,374.45/22,022.16
  6. Step 6: Final answer
    x = 10,850.00

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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.