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Finding the Fourth Proportional to 22,541.96, 33,814.56 and 6,957.56

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Solution

The fourth proportional to 22,541.96, 33,814.56 and 6,957.56 is: 10,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.96 : 33,814.56 = 6,957.56 : x
  2. Step 2: Convert to fraction form
    22,541.96/33,814.56 = 6,957.56/x
  3. Step 3: Cross multiply
    22,541.96x = 33,814.56 × 6,957.56
  4. Step 4: Simplify right side
    22,541.96x = 235,266,830.07
  5. Step 5: Solve for x
    x = 235,266,830.07/22,541.96
  6. Step 6: Final answer
    x = 10,436.84

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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.