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Finding the Fourth Proportional to 17,771.61, 24,524.83 and 9,705.38

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Solution

The fourth proportional to 17,771.61, 24,524.83 and 9,705.38 is: 13,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.61 : 24,524.83 = 9,705.38 : x
  2. Step 2: Convert to fraction form
    17,771.61/24,524.83 = 9,705.38/x
  3. Step 3: Cross multiply
    17,771.61x = 24,524.83 × 9,705.38
  4. Step 4: Simplify right side
    17,771.61x = 238,022,684.09
  5. Step 5: Solve for x
    x = 238,022,684.09/17,771.61
  6. Step 6: Final answer
    x = 13,393.42

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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.