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Finding the Fourth Proportional to 22,584.14, 33,897.03 and 11,498.82

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Solution

The fourth proportional to 22,584.14, 33,897.03 and 11,498.82 is: 17,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.14 : 33,897.03 = 11,498.82 : x
  2. Step 2: Convert to fraction form
    22,584.14/33,897.03 = 11,498.82/x
  3. Step 3: Cross multiply
    22,584.14x = 33,897.03 × 11,498.82
  4. Step 4: Simplify right side
    22,584.14x = 389,775,846.50
  5. Step 5: Solve for x
    x = 389,775,846.50/22,584.14
  6. Step 6: Final answer
    x = 17,258.83

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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.