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Finding the Fourth Proportional to 22,462.86, 33,697.85 and 7,470.54

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Solution

The fourth proportional to 22,462.86, 33,697.85 and 7,470.54 is: 11,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.86 : 33,697.85 = 7,470.54 : x
  2. Step 2: Convert to fraction form
    22,462.86/33,697.85 = 7,470.54/x
  3. Step 3: Cross multiply
    22,462.86x = 33,697.85 × 7,470.54
  4. Step 4: Simplify right side
    22,462.86x = 251,741,136.34
  5. Step 5: Solve for x
    x = 251,741,136.34/22,462.86
  6. Step 6: Final answer
    x = 11,206.99

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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.