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Finding the Fourth Proportional to 13,562.69, 20,355.07 and 6,990.75

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Solution

The fourth proportional to 13,562.69, 20,355.07 and 6,990.75 is: 10,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.69 : 20,355.07 = 6,990.75 : x
  2. Step 2: Convert to fraction form
    13,562.69/20,355.07 = 6,990.75/x
  3. Step 3: Cross multiply
    13,562.69x = 20,355.07 × 6,990.75
  4. Step 4: Simplify right side
    13,562.69x = 142,297,239.01
  5. Step 5: Solve for x
    x = 142,297,239.01/13,562.69
  6. Step 6: Final answer
    x = 10,491.82

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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.