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Finding the Fourth Proportional to 22,505.14, 33,757.70 and 6,922.77

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Solution

The fourth proportional to 22,505.14, 33,757.70 and 6,922.77 is: 10,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.14 : 33,757.70 = 6,922.77 : x
  2. Step 2: Convert to fraction form
    22,505.14/33,757.70 = 6,922.77/x
  3. Step 3: Cross multiply
    22,505.14x = 33,757.70 × 6,922.77
  4. Step 4: Simplify right side
    22,505.14x = 233,696,631.62
  5. Step 5: Solve for x
    x = 233,696,631.62/22,505.14
  6. Step 6: Final answer
    x = 10,384.14

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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.