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Finding the Fourth Proportional to 22,646.97, 33,984.24 and 14,315.49

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Solution

The fourth proportional to 22,646.97, 33,984.24 and 14,315.49 is: 21,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.97 : 33,984.24 = 14,315.49 : x
  2. Step 2: Convert to fraction form
    22,646.97/33,984.24 = 14,315.49/x
  3. Step 3: Cross multiply
    22,646.97x = 33,984.24 × 14,315.49
  4. Step 4: Simplify right side
    22,646.97x = 486,501,047.88
  5. Step 5: Solve for x
    x = 486,501,047.88/22,646.97
  6. Step 6: Final answer
    x = 21,481.95

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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.