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Finding the Fourth Proportional to 22,760.86, 31,409.38 and 13,200.15

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Solution

The fourth proportional to 22,760.86, 31,409.38 and 13,200.15 is: 18,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.86 : 31,409.38 = 13,200.15 : x
  2. Step 2: Convert to fraction form
    22,760.86/31,409.38 = 13,200.15/x
  3. Step 3: Cross multiply
    22,760.86x = 31,409.38 × 13,200.15
  4. Step 4: Simplify right side
    22,760.86x = 414,608,494.41
  5. Step 5: Solve for x
    x = 414,608,494.41/22,760.86
  6. Step 6: Final answer
    x = 18,215.86

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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.