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Finding the Fourth Proportional to 15,771.92, 21,764.31 and 9,058.64

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Solution

The fourth proportional to 15,771.92, 21,764.31 and 9,058.64 is: 12,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.92 : 21,764.31 = 9,058.64 : x
  2. Step 2: Convert to fraction form
    15,771.92/21,764.31 = 9,058.64/x
  3. Step 3: Cross multiply
    15,771.92x = 21,764.31 × 9,058.64
  4. Step 4: Simplify right side
    15,771.92x = 197,155,049.14
  5. Step 5: Solve for x
    x = 197,155,049.14/15,771.92
  6. Step 6: Final answer
    x = 12,500.38

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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.