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Finding the Fourth Proportional to 14,142.67, 21,222.15 and 7,568.80

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Solution

The fourth proportional to 14,142.67, 21,222.15 and 7,568.80 is: 11,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.67 : 21,222.15 = 7,568.80 : x
  2. Step 2: Convert to fraction form
    14,142.67/21,222.15 = 7,568.80/x
  3. Step 3: Cross multiply
    14,142.67x = 21,222.15 × 7,568.80
  4. Step 4: Simplify right side
    14,142.67x = 160,626,208.92
  5. Step 5: Solve for x
    x = 160,626,208.92/14,142.67
  6. Step 6: Final answer
    x = 11,357.56

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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.