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Finding the Fourth Proportional to 15,329.86, 22,996.41 and 6,562.42

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Solution

The fourth proportional to 15,329.86, 22,996.41 and 6,562.42 is: 9,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,329.86 : 22,996.41 = 6,562.42 : x
  2. Step 2: Convert to fraction form
    15,329.86/22,996.41 = 6,562.42/x
  3. Step 3: Cross multiply
    15,329.86x = 22,996.41 × 6,562.42
  4. Step 4: Simplify right side
    15,329.86x = 150,912,100.91
  5. Step 5: Solve for x
    x = 150,912,100.91/15,329.86
  6. Step 6: Final answer
    x = 9,844.32

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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.