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Finding the Fourth Proportional to 19,822.01, 29,733.44 and 7,976.97

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Solution

The fourth proportional to 19,822.01, 29,733.44 and 7,976.97 is: 11,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.01 : 29,733.44 = 7,976.97 : x
  2. Step 2: Convert to fraction form
    19,822.01/29,733.44 = 7,976.97/x
  3. Step 3: Cross multiply
    19,822.01x = 29,733.44 × 7,976.97
  4. Step 4: Simplify right side
    19,822.01x = 237,182,718.99
  5. Step 5: Solve for x
    x = 237,182,718.99/19,822.01
  6. Step 6: Final answer
    x = 11,965.63

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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.