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Finding the Fourth Proportional to 16,229.86, 22,391.94 and 9,058.60

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Solution

The fourth proportional to 16,229.86, 22,391.94 and 9,058.60 is: 12,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.86 : 22,391.94 = 9,058.60 : x
  2. Step 2: Convert to fraction form
    16,229.86/22,391.94 = 9,058.60/x
  3. Step 3: Cross multiply
    16,229.86x = 22,391.94 × 9,058.60
  4. Step 4: Simplify right side
    16,229.86x = 202,839,627.68
  5. Step 5: Solve for x
    x = 202,839,627.68/16,229.86
  6. Step 6: Final answer
    x = 12,497.93

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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.