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Finding the Fourth Proportional to 17,699.38, 24,425.31 and 9,741.78

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Solution

The fourth proportional to 17,699.38, 24,425.31 and 9,741.78 is: 13,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.38 : 24,425.31 = 9,741.78 : x
  2. Step 2: Convert to fraction form
    17,699.38/24,425.31 = 9,741.78/x
  3. Step 3: Cross multiply
    17,699.38x = 24,425.31 × 9,741.78
  4. Step 4: Simplify right side
    17,699.38x = 237,946,032.98
  5. Step 5: Solve for x
    x = 237,946,032.98/17,699.38
  6. Step 6: Final answer
    x = 13,443.75

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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.