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Finding the Fourth Proportional to 22,315.98, 30,796.04 and 12,244.49

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Solution

The fourth proportional to 22,315.98, 30,796.04 and 12,244.49 is: 16,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.98 : 30,796.04 = 12,244.49 : x
  2. Step 2: Convert to fraction form
    22,315.98/30,796.04 = 12,244.49/x
  3. Step 3: Cross multiply
    22,315.98x = 30,796.04 × 12,244.49
  4. Step 4: Simplify right side
    22,315.98x = 377,081,588.62
  5. Step 5: Solve for x
    x = 377,081,588.62/22,315.98
  6. Step 6: Final answer
    x = 16,897.38

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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.