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Finding the Fourth Proportional to 17,720.22, 24,431.08 and 14,521.80

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Solution

The fourth proportional to 17,720.22, 24,431.08 and 14,521.80 is: 20,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.22 : 24,431.08 = 14,521.80 : x
  2. Step 2: Convert to fraction form
    17,720.22/24,431.08 = 14,521.80/x
  3. Step 3: Cross multiply
    17,720.22x = 24,431.08 × 14,521.80
  4. Step 4: Simplify right side
    17,720.22x = 354,783,257.54
  5. Step 5: Solve for x
    x = 354,783,257.54/17,720.22
  6. Step 6: Final answer
    x = 20,021.38

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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.