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Finding the Fourth Proportional to 22,324.70, 33,463.76 and 7,528.53

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Solution

The fourth proportional to 22,324.70, 33,463.76 and 7,528.53 is: 11,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324.70 : 33,463.76 = 7,528.53 : x
  2. Step 2: Convert to fraction form
    22,324.70/33,463.76 = 7,528.53/x
  3. Step 3: Cross multiply
    22,324.70x = 33,463.76 × 7,528.53
  4. Step 4: Simplify right side
    22,324.70x = 251,932,883.43
  5. Step 5: Solve for x
    x = 251,932,883.43/22,324.70
  6. Step 6: Final answer
    x = 11,284.94

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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.