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Finding the Fourth Proportional to 11,860.80, 17,834.40 and 11,601.60

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Solution

The fourth proportional to 11,860.80, 17,834.40 and 11,601.60 is: 17,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.80 : 17,834.40 = 11,601.60 : x
  2. Step 2: Convert to fraction form
    11,860.80/17,834.40 = 11,601.60/x
  3. Step 3: Cross multiply
    11,860.80x = 17,834.40 × 11,601.60
  4. Step 4: Simplify right side
    11,860.80x = 206,907,575.04
  5. Step 5: Solve for x
    x = 206,907,575.04/11,860.80
  6. Step 6: Final answer
    x = 17,444.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.