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Finding the Fourth Proportional to 17,634.86, 24,334.80 and 9,675.80

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Solution

The fourth proportional to 17,634.86, 24,334.80 and 9,675.80 is: 13,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.86 : 24,334.80 = 9,675.80 : x
  2. Step 2: Convert to fraction form
    17,634.86/24,334.80 = 9,675.80/x
  3. Step 3: Cross multiply
    17,634.86x = 24,334.80 × 9,675.80
  4. Step 4: Simplify right side
    17,634.86x = 235,458,657.84
  5. Step 5: Solve for x
    x = 235,458,657.84/17,634.86
  6. Step 6: Final answer
    x = 13,351.89

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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.