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Finding the Fourth Proportional to 16,174.85, 22,313.12 and 9,456.09

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Solution

The fourth proportional to 16,174.85, 22,313.12 and 9,456.09 is: 13,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.85 : 22,313.12 = 9,456.09 : x
  2. Step 2: Convert to fraction form
    16,174.85/22,313.12 = 9,456.09/x
  3. Step 3: Cross multiply
    16,174.85x = 22,313.12 × 9,456.09
  4. Step 4: Simplify right side
    16,174.85x = 210,994,870.90
  5. Step 5: Solve for x
    x = 210,994,870.90/16,174.85
  6. Step 6: Final answer
    x = 13,044.63

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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.