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Finding the Fourth Proportional to 16,838.96, 25,258.67 and 8,071.83

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Solution

The fourth proportional to 16,838.96, 25,258.67 and 8,071.83 is: 12,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.96 : 25,258.67 = 8,071.83 : x
  2. Step 2: Convert to fraction form
    16,838.96/25,258.67 = 8,071.83/x
  3. Step 3: Cross multiply
    16,838.96x = 25,258.67 × 8,071.83
  4. Step 4: Simplify right side
    16,838.96x = 203,883,643.19
  5. Step 5: Solve for x
    x = 203,883,643.19/16,838.96
  6. Step 6: Final answer
    x = 12,107.85

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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.