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Finding the Fourth Proportional to 22,083.86, 30,470.38 and 14,014.58

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Solution

The fourth proportional to 22,083.86, 30,470.38 and 14,014.58 is: 19,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.86 : 30,470.38 = 14,014.58 : x
  2. Step 2: Convert to fraction form
    22,083.86/30,470.38 = 14,014.58/x
  3. Step 3: Cross multiply
    22,083.86x = 30,470.38 × 14,014.58
  4. Step 4: Simplify right side
    22,083.86x = 427,029,578.14
  5. Step 5: Solve for x
    x = 427,029,578.14/22,083.86
  6. Step 6: Final answer
    x = 19,336.73

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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.