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Finding the Fourth Proportional to 22,204.10, 33,307.84 and 7,412.98

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Solution

The fourth proportional to 22,204.10, 33,307.84 and 7,412.98 is: 11,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.10 : 33,307.84 = 7,412.98 : x
  2. Step 2: Convert to fraction form
    22,204.10/33,307.84 = 7,412.98/x
  3. Step 3: Cross multiply
    22,204.10x = 33,307.84 × 7,412.98
  4. Step 4: Simplify right side
    22,204.10x = 246,910,351.76
  5. Step 5: Solve for x
    x = 246,910,351.76/22,204.10
  6. Step 6: Final answer
    x = 11,120.03

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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.