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Finding the Fourth Proportional to 16,662.83, 22,995 and 9,109.49

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Solution

The fourth proportional to 16,662.83, 22,995 and 9,109.49 is: 12,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.83 : 22,995 = 9,109.49 : x
  2. Step 2: Convert to fraction form
    16,662.83/22,995 = 9,109.49/x
  3. Step 3: Cross multiply
    16,662.83x = 22,995 × 9,109.49
  4. Step 4: Simplify right side
    16,662.83x = 209,472,607.58
  5. Step 5: Solve for x
    x = 209,472,607.58/16,662.83
  6. Step 6: Final answer
    x = 12,571.25

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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.