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Finding the Fourth Proportional to 18,589.52, 25,653 and 10,205.84

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Solution

The fourth proportional to 18,589.52, 25,653 and 10,205.84 is: 14,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.52 : 25,653 = 10,205.84 : x
  2. Step 2: Convert to fraction form
    18,589.52/25,653 = 10,205.84/x
  3. Step 3: Cross multiply
    18,589.52x = 25,653 × 10,205.84
  4. Step 4: Simplify right side
    18,589.52x = 261,810,413.52
  5. Step 5: Solve for x
    x = 261,810,413.52/18,589.52
  6. Step 6: Final answer
    x = 14,083.76

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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.