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Finding the Fourth Proportional to 17,930.40, 24,744.55 and 9,864.39

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Solution

The fourth proportional to 17,930.40, 24,744.55 and 9,864.39 is: 13,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.40 : 24,744.55 = 9,864.39 : x
  2. Step 2: Convert to fraction form
    17,930.40/24,744.55 = 9,864.39/x
  3. Step 3: Cross multiply
    17,930.40x = 24,744.55 × 9,864.39
  4. Step 4: Simplify right side
    17,930.40x = 244,089,891.57
  5. Step 5: Solve for x
    x = 244,089,891.57/17,930.40
  6. Step 6: Final answer
    x = 13,613.19

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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.