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Finding the Fourth Proportional to 13,457.88, 20,196.14 and 7,844.85

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Solution

The fourth proportional to 13,457.88, 20,196.14 and 7,844.85 is: 11,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.88 : 20,196.14 = 7,844.85 : x
  2. Step 2: Convert to fraction form
    13,457.88/20,196.14 = 7,844.85/x
  3. Step 3: Cross multiply
    13,457.88x = 20,196.14 × 7,844.85
  4. Step 4: Simplify right side
    13,457.88x = 158,435,649.65
  5. Step 5: Solve for x
    x = 158,435,649.65/13,457.88
  6. Step 6: Final answer
    x = 11,772.70

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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.