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Finding the Fourth Proportional to 22,299.54, 33,454.23 and 6,505.81

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Solution

The fourth proportional to 22,299.54, 33,454.23 and 6,505.81 is: 9,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299.54 : 33,454.23 = 6,505.81 : x
  2. Step 2: Convert to fraction form
    22,299.54/33,454.23 = 6,505.81/x
  3. Step 3: Cross multiply
    22,299.54x = 33,454.23 × 6,505.81
  4. Step 4: Simplify right side
    22,299.54x = 217,646,696.81
  5. Step 5: Solve for x
    x = 217,646,696.81/22,299.54
  6. Step 6: Final answer
    x = 9,760.14

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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.