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Finding the Fourth Proportional to 17,811.22, 24,580.38 and 10,739.92

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Solution

The fourth proportional to 17,811.22, 24,580.38 and 10,739.92 is: 14,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.22 : 24,580.38 = 10,739.92 : x
  2. Step 2: Convert to fraction form
    17,811.22/24,580.38 = 10,739.92/x
  3. Step 3: Cross multiply
    17,811.22x = 24,580.38 × 10,739.92
  4. Step 4: Simplify right side
    17,811.22x = 263,991,314.77
  5. Step 5: Solve for x
    x = 263,991,314.77/17,811.22
  6. Step 6: Final answer
    x = 14,821.63

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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.