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Finding the Fourth Proportional to 17,896.88, 24,716.05 and 13,413.53

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Solution

The fourth proportional to 17,896.88, 24,716.05 and 13,413.53 is: 18,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.88 : 24,716.05 = 13,413.53 : x
  2. Step 2: Convert to fraction form
    17,896.88/24,716.05 = 13,413.53/x
  3. Step 3: Cross multiply
    17,896.88x = 24,716.05 × 13,413.53
  4. Step 4: Simplify right side
    17,896.88x = 331,529,506.41
  5. Step 5: Solve for x
    x = 331,529,506.41/17,896.88
  6. Step 6: Final answer
    x = 18,524.43

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1.5x scale

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.