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Finding the Fourth Proportional to 16,222.41, 22,388.49 and 9,847.53

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Solution

The fourth proportional to 16,222.41, 22,388.49 and 9,847.53 is: 13,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.41 : 22,388.49 = 9,847.53 : x
  2. Step 2: Convert to fraction form
    16,222.41/22,388.49 = 9,847.53/x
  3. Step 3: Cross multiply
    16,222.41x = 22,388.49 × 9,847.53
  4. Step 4: Simplify right side
    16,222.41x = 220,471,326.93
  5. Step 5: Solve for x
    x = 220,471,326.93/16,222.41
  6. Step 6: Final answer
    x = 13,590.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.