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Finding the Fourth Proportional to 17,606.75, 24,297.50 and 9,648.80

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Solution

The fourth proportional to 17,606.75, 24,297.50 and 9,648.80 is: 13,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.75 : 24,297.50 = 9,648.80 : x
  2. Step 2: Convert to fraction form
    17,606.75/24,297.50 = 9,648.80/x
  3. Step 3: Cross multiply
    17,606.75x = 24,297.50 × 9,648.80
  4. Step 4: Simplify right side
    17,606.75x = 234,441,548.27
  5. Step 5: Solve for x
    x = 234,441,548.27/17,606.75
  6. Step 6: Final answer
    x = 13,315.44

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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.