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Finding the Fourth Proportional to 22,501.22, 33,751.80 and 6,916.82

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Solution

The fourth proportional to 22,501.22, 33,751.80 and 6,916.82 is: 10,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,501.22 : 33,751.80 = 6,916.82 : x
  2. Step 2: Convert to fraction form
    22,501.22/33,751.80 = 6,916.82/x
  3. Step 3: Cross multiply
    22,501.22x = 33,751.80 × 6,916.82
  4. Step 4: Simplify right side
    22,501.22x = 233,455,125.28
  5. Step 5: Solve for x
    x = 233,455,125.28/22,501.22
  6. Step 6: Final answer
    x = 10,375.22

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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.