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Finding the Fourth Proportional to 17,722.22, 24,433.92 and 14,523.93

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Solution

The fourth proportional to 17,722.22, 24,433.92 and 14,523.93 is: 20,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.22 : 24,433.92 = 14,523.93 : x
  2. Step 2: Convert to fraction form
    17,722.22/24,433.92 = 14,523.93/x
  3. Step 3: Cross multiply
    17,722.22x = 24,433.92 × 14,523.93
  4. Step 4: Simplify right side
    17,722.22x = 354,876,543.71
  5. Step 5: Solve for x
    x = 354,876,543.71/17,722.22
  6. Step 6: Final answer
    x = 20,024.39

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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.