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Finding the Fourth Proportional to 30,211.86, 41,697.33 and 17,634.18

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Solution

The fourth proportional to 30,211.86, 41,697.33 and 17,634.18 is: 24,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.86 : 41,697.33 = 17,634.18 : x
  2. Step 2: Convert to fraction form
    30,211.86/41,697.33 = 17,634.18/x
  3. Step 3: Cross multiply
    30,211.86x = 41,697.33 × 17,634.18
  4. Step 4: Simplify right side
    30,211.86x = 735,298,222.74
  5. Step 5: Solve for x
    x = 735,298,222.74/30,211.86
  6. Step 6: Final answer
    x = 24,338.07

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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.