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Finding the Fourth Proportional to 22,627.80, 33,897.78 and 11,213.46

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Solution

The fourth proportional to 22,627.80, 33,897.78 and 11,213.46 is: 16,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.80 : 33,897.78 = 11,213.46 : x
  2. Step 2: Convert to fraction form
    22,627.80/33,897.78 = 11,213.46/x
  3. Step 3: Cross multiply
    22,627.80x = 33,897.78 × 11,213.46
  4. Step 4: Simplify right side
    22,627.80x = 380,111,400.12
  5. Step 5: Solve for x
    x = 380,111,400.12/22,627.80
  6. Step 6: Final answer
    x = 16,798.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.