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Finding the Fourth Proportional to 22,396.47, 33,599.69 and 6,815.31

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Solution

The fourth proportional to 22,396.47, 33,599.69 and 6,815.31 is: 10,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.47 : 33,599.69 = 6,815.31 : x
  2. Step 2: Convert to fraction form
    22,396.47/33,599.69 = 6,815.31/x
  3. Step 3: Cross multiply
    22,396.47x = 33,599.69 × 6,815.31
  4. Step 4: Simplify right side
    22,396.47x = 228,992,303.25
  5. Step 5: Solve for x
    x = 228,992,303.25/22,396.47
  6. Step 6: Final answer
    x = 10,224.48

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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.