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Finding the Fourth Proportional to 20,737.36, 31,097.94 and 7,225.12

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Solution

The fourth proportional to 20,737.36, 31,097.94 and 7,225.12 is: 10,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.36 : 31,097.94 = 7,225.12 : x
  2. Step 2: Convert to fraction form
    20,737.36/31,097.94 = 7,225.12/x
  3. Step 3: Cross multiply
    20,737.36x = 31,097.94 × 7,225.12
  4. Step 4: Simplify right side
    20,737.36x = 224,686,348.25
  5. Step 5: Solve for x
    x = 224,686,348.25/20,737.36
  6. Step 6: Final answer
    x = 10,834.86

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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.