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Finding the Fourth Proportional to 15,719.06, 21,692.31 and 9,431.44

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Solution

The fourth proportional to 15,719.06, 21,692.31 and 9,431.44 is: 13,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.06 : 21,692.31 = 9,431.44 : x
  2. Step 2: Convert to fraction form
    15,719.06/21,692.31 = 9,431.44/x
  3. Step 3: Cross multiply
    15,719.06x = 21,692.31 × 9,431.44
  4. Step 4: Simplify right side
    15,719.06x = 204,589,630.63
  5. Step 5: Solve for x
    x = 204,589,630.63/15,719.06
  6. Step 6: Final answer
    x = 13,015.38

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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.