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Finding the Fourth Proportional to 21,813.23, 32,673.87 and 9,976.97

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Solution

The fourth proportional to 21,813.23, 32,673.87 and 9,976.97 is: 14,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.23 : 32,673.87 = 9,976.97 : x
  2. Step 2: Convert to fraction form
    21,813.23/32,673.87 = 9,976.97/x
  3. Step 3: Cross multiply
    21,813.23x = 32,673.87 × 9,976.97
  4. Step 4: Simplify right side
    21,813.23x = 325,986,057.40
  5. Step 5: Solve for x
    x = 325,986,057.40/21,813.23
  6. Step 6: Final answer
    x = 14,944.42

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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.