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Finding the Fourth Proportional to 17,578.61, 26,364.97 and 7,715.24

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Solution

The fourth proportional to 17,578.61, 26,364.97 and 7,715.24 is: 11,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.61 : 26,364.97 = 7,715.24 : x
  2. Step 2: Convert to fraction form
    17,578.61/26,364.97 = 7,715.24/x
  3. Step 3: Cross multiply
    17,578.61x = 26,364.97 × 7,715.24
  4. Step 4: Simplify right side
    17,578.61x = 203,412,071.14
  5. Step 5: Solve for x
    x = 203,412,071.14/17,578.61
  6. Step 6: Final answer
    x = 11,571.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.