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Finding the Fourth Proportional to 14,141.16, 21,217.86 and 6,745.68

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Solution

The fourth proportional to 14,141.16, 21,217.86 and 6,745.68 is: 10,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.16 : 21,217.86 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    14,141.16/21,217.86 = 6,745.68/x
  3. Step 3: Cross multiply
    14,141.16x = 21,217.86 × 6,745.68
  4. Step 4: Simplify right side
    14,141.16x = 143,128,893.84
  5. Step 5: Solve for x
    x = 143,128,893.84/14,141.16
  6. Step 6: Final answer
    x = 10,121.44

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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.