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Finding the Fourth Proportional to 22,562.69, 33,837.43 and 6,767.08

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Solution

The fourth proportional to 22,562.69, 33,837.43 and 6,767.08 is: 10,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.69 : 33,837.43 = 6,767.08 : x
  2. Step 2: Convert to fraction form
    22,562.69/33,837.43 = 6,767.08/x
  3. Step 3: Cross multiply
    22,562.69x = 33,837.43 × 6,767.08
  4. Step 4: Simplify right side
    22,562.69x = 228,980,595.80
  5. Step 5: Solve for x
    x = 228,980,595.80/22,562.69
  6. Step 6: Final answer
    x = 10,148.64

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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.