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Finding the Fourth Proportional to 17,642.98, 24,347.42 and 9,685.27

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Solution

The fourth proportional to 17,642.98, 24,347.42 and 9,685.27 is: 13,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.98 : 24,347.42 = 9,685.27 : x
  2. Step 2: Convert to fraction form
    17,642.98/24,347.42 = 9,685.27/x
  3. Step 3: Cross multiply
    17,642.98x = 24,347.42 × 9,685.27
  4. Step 4: Simplify right side
    17,642.98x = 235,811,336.50
  5. Step 5: Solve for x
    x = 235,811,336.50/17,642.98
  6. Step 6: Final answer
    x = 13,365.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.