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Finding the Fourth Proportional to 22,005.62, 33,012.60 and 7,215.42

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Solution

The fourth proportional to 22,005.62, 33,012.60 and 7,215.42 is: 10,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.62 : 33,012.60 = 7,215.42 : x
  2. Step 2: Convert to fraction form
    22,005.62/33,012.60 = 7,215.42/x
  3. Step 3: Cross multiply
    22,005.62x = 33,012.60 × 7,215.42
  4. Step 4: Simplify right side
    22,005.62x = 238,199,774.29
  5. Step 5: Solve for x
    x = 238,199,774.29/22,005.62
  6. Step 6: Final answer
    x = 10,824.50

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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.