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Finding the Fourth Proportional to 22,462.10, 33,697.20 and 9,315.80

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Solution

The fourth proportional to 22,462.10, 33,697.20 and 9,315.80 is: 13,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.10 : 33,697.20 = 9,315.80 : x
  2. Step 2: Convert to fraction form
    22,462.10/33,697.20 = 9,315.80/x
  3. Step 3: Cross multiply
    22,462.10x = 33,697.20 × 9,315.80
  4. Step 4: Simplify right side
    22,462.10x = 313,916,375.76
  5. Step 5: Solve for x
    x = 313,916,375.76/22,462.10
  6. Step 6: Final answer
    x = 13,975.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.