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Finding the Fourth Proportional to 22,307.05, 30,786.33 and 12,748.48

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Solution

The fourth proportional to 22,307.05, 30,786.33 and 12,748.48 is: 17,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.05 : 30,786.33 = 12,748.48 : x
  2. Step 2: Convert to fraction form
    22,307.05/30,786.33 = 12,748.48/x
  3. Step 3: Cross multiply
    22,307.05x = 30,786.33 × 12,748.48
  4. Step 4: Simplify right side
    22,307.05x = 392,478,912.28
  5. Step 5: Solve for x
    x = 392,478,912.28/22,307.05
  6. Step 6: Final answer
    x = 17,594.39

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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.