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Finding the Fourth Proportional to 22,237.86, 30,708.66 and 14,293.92

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Solution

The fourth proportional to 22,237.86, 30,708.66 and 14,293.92 is: 19,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.86 : 30,708.66 = 14,293.92 : x
  2. Step 2: Convert to fraction form
    22,237.86/30,708.66 = 14,293.92/x
  3. Step 3: Cross multiply
    22,237.86x = 30,708.66 × 14,293.92
  4. Step 4: Simplify right side
    22,237.86x = 438,947,129.35
  5. Step 5: Solve for x
    x = 438,947,129.35/22,237.86
  6. Step 6: Final answer
    x = 19,738.73

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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.