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Finding the Fourth Proportional to 16,194.38, 24,281.18 and 6,831.84

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Solution

The fourth proportional to 16,194.38, 24,281.18 and 6,831.84 is: 10,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.38 : 24,281.18 = 6,831.84 : x
  2. Step 2: Convert to fraction form
    16,194.38/24,281.18 = 6,831.84/x
  3. Step 3: Cross multiply
    16,194.38x = 24,281.18 × 6,831.84
  4. Step 4: Simplify right side
    16,194.38x = 165,885,257.71
  5. Step 5: Solve for x
    x = 165,885,257.71/16,194.38
  6. Step 6: Final answer
    x = 10,243.38

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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.