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Finding the Fourth Proportional to 17,447.40, 24,097.70 and 11,506.05

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Solution

The fourth proportional to 17,447.40, 24,097.70 and 11,506.05 is: 15,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.40 : 24,097.70 = 11,506.05 : x
  2. Step 2: Convert to fraction form
    17,447.40/24,097.70 = 11,506.05/x
  3. Step 3: Cross multiply
    17,447.40x = 24,097.70 × 11,506.05
  4. Step 4: Simplify right side
    17,447.40x = 277,269,369.85
  5. Step 5: Solve for x
    x = 277,269,369.85/17,447.40
  6. Step 6: Final answer
    x = 15,891.73

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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.