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Finding the Fourth Proportional to 22,440.78, 33,649.29 and 6,854.22

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Solution

The fourth proportional to 22,440.78, 33,649.29 and 6,854.22 is: 10,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,440.78 : 33,649.29 = 6,854.22 : x
  2. Step 2: Convert to fraction form
    22,440.78/33,649.29 = 6,854.22/x
  3. Step 3: Cross multiply
    22,440.78x = 33,649.29 × 6,854.22
  4. Step 4: Simplify right side
    22,440.78x = 230,639,636.50
  5. Step 5: Solve for x
    x = 230,639,636.50/22,440.78
  6. Step 6: Final answer
    x = 10,277.70

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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.