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Finding the Fourth Proportional to 15,238.56, 22,837.72 and 8,201.28

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Solution

The fourth proportional to 15,238.56, 22,837.72 and 8,201.28 is: 12,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.56 : 22,837.72 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    15,238.56/22,837.72 = 8,201.28/x
  3. Step 3: Cross multiply
    15,238.56x = 22,837.72 × 8,201.28
  4. Step 4: Simplify right side
    15,238.56x = 187,298,536.28
  5. Step 5: Solve for x
    x = 187,298,536.28/15,238.56
  6. Step 6: Final answer
    x = 12,291.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.