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Finding the Fourth Proportional to 22,358, 33,537.81 and 6,775.63

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Solution

The fourth proportional to 22,358, 33,537.81 and 6,775.63 is: 10,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 33,537.81 = 6,775.63 : x
  2. Step 2: Convert to fraction form
    22,358/33,537.81 = 6,775.63/x
  3. Step 3: Cross multiply
    22,358x = 33,537.81 × 6,775.63
  4. Step 4: Simplify right side
    22,358x = 227,239,791.57
  5. Step 5: Solve for x
    x = 227,239,791.57/22,358
  6. Step 6: Final answer
    x = 10,163.69

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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.