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Finding the Fourth Proportional to 19,697.56, 27,182.44 and 11,314.12

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Solution

The fourth proportional to 19,697.56, 27,182.44 and 11,314.12 is: 15,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.56 : 27,182.44 = 11,314.12 : x
  2. Step 2: Convert to fraction form
    19,697.56/27,182.44 = 11,314.12/x
  3. Step 3: Cross multiply
    19,697.56x = 27,182.44 × 11,314.12
  4. Step 4: Simplify right side
    19,697.56x = 307,545,388.05
  5. Step 5: Solve for x
    x = 307,545,388.05/19,697.56
  6. Step 6: Final answer
    x = 15,613.37

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1.5x scale

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.