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Finding the Fourth Proportional to 17,759.05, 24,509.44 and 10,205.70

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Solution

The fourth proportional to 17,759.05, 24,509.44 and 10,205.70 is: 14,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.05 : 24,509.44 = 10,205.70 : x
  2. Step 2: Convert to fraction form
    17,759.05/24,509.44 = 10,205.70/x
  3. Step 3: Cross multiply
    17,759.05x = 24,509.44 × 10,205.70
  4. Step 4: Simplify right side
    17,759.05x = 250,135,855.25
  5. Step 5: Solve for x
    x = 250,135,855.25/17,759.05
  6. Step 6: Final answer
    x = 14,084.98

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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.