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Finding the Fourth Proportional to 22,210.89, 30,642.26 and 12,774.39

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Solution

The fourth proportional to 22,210.89, 30,642.26 and 12,774.39 is: 17,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210.89 : 30,642.26 = 12,774.39 : x
  2. Step 2: Convert to fraction form
    22,210.89/30,642.26 = 12,774.39/x
  3. Step 3: Cross multiply
    22,210.89x = 30,642.26 × 12,774.39
  4. Step 4: Simplify right side
    22,210.89x = 391,436,115.85
  5. Step 5: Solve for x
    x = 391,436,115.85/22,210.89
  6. Step 6: Final answer
    x = 17,623.61

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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.