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Finding the Fourth Proportional to 16,249.31, 22,423.70 and 9,175.58

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Solution

The fourth proportional to 16,249.31, 22,423.70 and 9,175.58 is: 12,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.31 : 22,423.70 = 9,175.58 : x
  2. Step 2: Convert to fraction form
    16,249.31/22,423.70 = 9,175.58/x
  3. Step 3: Cross multiply
    16,249.31x = 22,423.70 × 9,175.58
  4. Step 4: Simplify right side
    16,249.31x = 205,750,295.25
  5. Step 5: Solve for x
    x = 205,750,295.25/16,249.31
  6. Step 6: Final answer
    x = 12,662.10

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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.