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Finding the Fourth Proportional to 16,071.36, 24,107.68 and 6,831.04

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Solution

The fourth proportional to 16,071.36, 24,107.68 and 6,831.04 is: 10,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.36 : 24,107.68 = 6,831.04 : x
  2. Step 2: Convert to fraction form
    16,071.36/24,107.68 = 6,831.04/x
  3. Step 3: Cross multiply
    16,071.36x = 24,107.68 × 6,831.04
  4. Step 4: Simplify right side
    16,071.36x = 164,680,526.39
  5. Step 5: Solve for x
    x = 164,680,526.39/16,071.36
  6. Step 6: Final answer
    x = 10,246.83

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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.