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Finding the Fourth Proportional to 16,343.48, 22,556.34 and 9,174.16

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Solution

The fourth proportional to 16,343.48, 22,556.34 and 9,174.16 is: 12,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.48 : 22,556.34 = 9,174.16 : x
  2. Step 2: Convert to fraction form
    16,343.48/22,556.34 = 9,174.16/x
  3. Step 3: Cross multiply
    16,343.48x = 22,556.34 × 9,174.16
  4. Step 4: Simplify right side
    16,343.48x = 206,935,472.17
  5. Step 5: Solve for x
    x = 206,935,472.17/16,343.48
  6. Step 6: Final answer
    x = 12,661.65

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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.