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Finding the Fourth Proportional to 15,868, 21,896.96 and 8,696.60

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Solution

The fourth proportional to 15,868, 21,896.96 and 8,696.60 is: 12,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868 : 21,896.96 = 8,696.60 : x
  2. Step 2: Convert to fraction form
    15,868/21,896.96 = 8,696.60/x
  3. Step 3: Cross multiply
    15,868x = 21,896.96 × 8,696.60
  4. Step 4: Simplify right side
    15,868x = 190,429,102.34
  5. Step 5: Solve for x
    x = 190,429,102.34/15,868
  6. Step 6: Final answer
    x = 12,000.83

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Why These Related Problems?

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