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Finding the Fourth Proportional to 22,374.30, 33,536.82 and 9,219.50

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Solution

The fourth proportional to 22,374.30, 33,536.82 and 9,219.50 is: 13,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.30 : 33,536.82 = 9,219.50 : x
  2. Step 2: Convert to fraction form
    22,374.30/33,536.82 = 9,219.50/x
  3. Step 3: Cross multiply
    22,374.30x = 33,536.82 × 9,219.50
  4. Step 4: Simplify right side
    22,374.30x = 309,192,711.99
  5. Step 5: Solve for x
    x = 309,192,711.99/22,374.30
  6. Step 6: Final answer
    x = 13,819.10

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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.