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Finding the Fourth Proportional to 14,188.42, 21,295.76 and 7,173.38

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Solution

The fourth proportional to 14,188.42, 21,295.76 and 7,173.38 is: 10,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.42 : 21,295.76 = 7,173.38 : x
  2. Step 2: Convert to fraction form
    14,188.42/21,295.76 = 7,173.38/x
  3. Step 3: Cross multiply
    14,188.42x = 21,295.76 × 7,173.38
  4. Step 4: Simplify right side
    14,188.42x = 152,762,578.87
  5. Step 5: Solve for x
    x = 152,762,578.87/14,188.42
  6. Step 6: Final answer
    x = 10,766.71

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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.