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Finding the Fourth Proportional to 17,770.20, 24,521.67 and 9,812.35

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Solution

The fourth proportional to 17,770.20, 24,521.67 and 9,812.35 is: 13,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.20 : 24,521.67 = 9,812.35 : x
  2. Step 2: Convert to fraction form
    17,770.20/24,521.67 = 9,812.35/x
  3. Step 3: Cross multiply
    17,770.20x = 24,521.67 × 9,812.35
  4. Step 4: Simplify right side
    17,770.20x = 240,615,208.62
  5. Step 5: Solve for x
    x = 240,615,208.62/17,770.20
  6. Step 6: Final answer
    x = 13,540.38

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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.