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Finding the Fourth Proportional to 16,705.94, 23,084.61 and 15,896.18

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Solution

The fourth proportional to 16,705.94, 23,084.61 and 15,896.18 is: 21,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.94 : 23,084.61 = 15,896.18 : x
  2. Step 2: Convert to fraction form
    16,705.94/23,084.61 = 15,896.18/x
  3. Step 3: Cross multiply
    16,705.94x = 23,084.61 × 15,896.18
  4. Step 4: Simplify right side
    16,705.94x = 366,957,115.79
  5. Step 5: Solve for x
    x = 366,957,115.79/16,705.94
  6. Step 6: Final answer
    x = 21,965.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.