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Finding the Fourth Proportional to 22,516.52, 33,737.88 and 7,717.46

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Solution

The fourth proportional to 22,516.52, 33,737.88 and 7,717.46 is: 11,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.52 : 33,737.88 = 7,717.46 : x
  2. Step 2: Convert to fraction form
    22,516.52/33,737.88 = 7,717.46/x
  3. Step 3: Cross multiply
    22,516.52x = 33,737.88 × 7,717.46
  4. Step 4: Simplify right side
    22,516.52x = 260,370,739.38
  5. Step 5: Solve for x
    x = 260,370,739.38/22,516.52
  6. Step 6: Final answer
    x = 11,563.54

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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.