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Finding the Fourth Proportional to 15,222.75, 22,840.97 and 9,674.66

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Solution

The fourth proportional to 15,222.75, 22,840.97 and 9,674.66 is: 14,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.75 : 22,840.97 = 9,674.66 : x
  2. Step 2: Convert to fraction form
    15,222.75/22,840.97 = 9,674.66/x
  3. Step 3: Cross multiply
    15,222.75x = 22,840.97 × 9,674.66
  4. Step 4: Simplify right side
    15,222.75x = 220,978,618.82
  5. Step 5: Solve for x
    x = 220,978,618.82/15,222.75
  6. Step 6: Final answer
    x = 14,516.34

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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.