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Finding the Fourth Proportional to 22,589.34, 33,840.21 and 12,698.46

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Solution

The fourth proportional to 22,589.34, 33,840.21 and 12,698.46 is: 19,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.34 : 33,840.21 = 12,698.46 : x
  2. Step 2: Convert to fraction form
    22,589.34/33,840.21 = 12,698.46/x
  3. Step 3: Cross multiply
    22,589.34x = 33,840.21 × 12,698.46
  4. Step 4: Simplify right side
    22,589.34x = 429,718,553.08
  5. Step 5: Solve for x
    x = 429,718,553.08/22,589.34
  6. Step 6: Final answer
    x = 19,023.07

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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.