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Finding the Fourth Proportional to 11,596.43, 17,394.50 and 2,831.42

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Solution

The fourth proportional to 11,596.43, 17,394.50 and 2,831.42 is: 4,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.43 : 17,394.50 = 2,831.42 : x
  2. Step 2: Convert to fraction form
    11,596.43/17,394.50 = 2,831.42/x
  3. Step 3: Cross multiply
    11,596.43x = 17,394.50 × 2,831.42
  4. Step 4: Simplify right side
    11,596.43x = 49,251,169.83
  5. Step 5: Solve for x
    x = 49,251,169.83/11,596.43
  6. Step 6: Final answer
    x = 4,247.10

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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.