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Finding the Fourth Proportional to 22,300.44, 30,773.43 and 12,738.45

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Solution

The fourth proportional to 22,300.44, 30,773.43 and 12,738.45 is: 17,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.44 : 30,773.43 = 12,738.45 : x
  2. Step 2: Convert to fraction form
    22,300.44/30,773.43 = 12,738.45/x
  3. Step 3: Cross multiply
    22,300.44x = 30,773.43 × 12,738.45
  4. Step 4: Simplify right side
    22,300.44x = 392,005,799.38
  5. Step 5: Solve for x
    x = 392,005,799.38/22,300.44
  6. Step 6: Final answer
    x = 17,578.39

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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.