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Finding the Fourth Proportional to 17,715.50, 24,447.39 and 9,757.70

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Solution

The fourth proportional to 17,715.50, 24,447.39 and 9,757.70 is: 13,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.50 : 24,447.39 = 9,757.70 : x
  2. Step 2: Convert to fraction form
    17,715.50/24,447.39 = 9,757.70/x
  3. Step 3: Cross multiply
    17,715.50x = 24,447.39 × 9,757.70
  4. Step 4: Simplify right side
    17,715.50x = 238,550,297.40
  5. Step 5: Solve for x
    x = 238,550,297.40/17,715.50
  6. Step 6: Final answer
    x = 13,465.63

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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.