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Finding the Fourth Proportional to 22,354.05, 30,849.08 and 12,282.69

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Solution

The fourth proportional to 22,354.05, 30,849.08 and 12,282.69 is: 16,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.05 : 30,849.08 = 12,282.69 : x
  2. Step 2: Convert to fraction form
    22,354.05/30,849.08 = 12,282.69/x
  3. Step 3: Cross multiply
    22,354.05x = 30,849.08 × 12,282.69
  4. Step 4: Simplify right side
    22,354.05x = 378,909,625.01
  5. Step 5: Solve for x
    x = 378,909,625.01/22,354.05
  6. Step 6: Final answer
    x = 16,950.38

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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.