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Finding the Fourth Proportional to 15,324.54, 22,965.42 and 8,289.42

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Solution

The fourth proportional to 15,324.54, 22,965.42 and 8,289.42 is: 12,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.54 : 22,965.42 = 8,289.42 : x
  2. Step 2: Convert to fraction form
    15,324.54/22,965.42 = 8,289.42/x
  3. Step 3: Cross multiply
    15,324.54x = 22,965.42 × 8,289.42
  4. Step 4: Simplify right side
    15,324.54x = 190,370,011.86
  5. Step 5: Solve for x
    x = 190,370,011.86/15,324.54
  6. Step 6: Final answer
    x = 12,422.56

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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.