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Finding the Fourth Proportional to 22,615.82, 31,208.56 and 12,543.54

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Solution

The fourth proportional to 22,615.82, 31,208.56 and 12,543.54 is: 17,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.82 : 31,208.56 = 12,543.54 : x
  2. Step 2: Convert to fraction form
    22,615.82/31,208.56 = 12,543.54/x
  3. Step 3: Cross multiply
    22,615.82x = 31,208.56 × 12,543.54
  4. Step 4: Simplify right side
    22,615.82x = 391,465,820.70
  5. Step 5: Solve for x
    x = 391,465,820.70/22,615.82
  6. Step 6: Final answer
    x = 17,309.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.