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Finding the Fourth Proportional to 14,102.68, 21,163.20 and 6,715.48

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Solution

The fourth proportional to 14,102.68, 21,163.20 and 6,715.48 is: 10,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.68 : 21,163.20 = 6,715.48 : x
  2. Step 2: Convert to fraction form
    14,102.68/21,163.20 = 6,715.48/x
  3. Step 3: Cross multiply
    14,102.68x = 21,163.20 × 6,715.48
  4. Step 4: Simplify right side
    14,102.68x = 142,121,046.34
  5. Step 5: Solve for x
    x = 142,121,046.34/14,102.68
  6. Step 6: Final answer
    x = 10,077.59

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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.