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Finding the Fourth Proportional to 16,344.24, 22,556.03 and 9,176.50

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Solution

The fourth proportional to 16,344.24, 22,556.03 and 9,176.50 is: 12,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.24 : 22,556.03 = 9,176.50 : x
  2. Step 2: Convert to fraction form
    16,344.24/22,556.03 = 9,176.50/x
  3. Step 3: Cross multiply
    16,344.24x = 22,556.03 × 9,176.50
  4. Step 4: Simplify right side
    16,344.24x = 206,985,409.30
  5. Step 5: Solve for x
    x = 206,985,409.30/16,344.24
  6. Step 6: Final answer
    x = 12,664.12

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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.