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Finding the Fourth Proportional to 17,938.22, 24,751.89 and 9,980.42

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Solution

The fourth proportional to 17,938.22, 24,751.89 and 9,980.42 is: 13,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,938.22 : 24,751.89 = 9,980.42 : x
  2. Step 2: Convert to fraction form
    17,938.22/24,751.89 = 9,980.42/x
  3. Step 3: Cross multiply
    17,938.22x = 24,751.89 × 9,980.42
  4. Step 4: Simplify right side
    17,938.22x = 247,034,257.99
  5. Step 5: Solve for x
    x = 247,034,257.99/17,938.22
  6. Step 6: Final answer
    x = 13,771.39

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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.