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Finding the Fourth Proportional to 13,578.17, 18,729.24 and 9,794.39

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Solution

The fourth proportional to 13,578.17, 18,729.24 and 9,794.39 is: 13,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.17 : 18,729.24 = 9,794.39 : x
  2. Step 2: Convert to fraction form
    13,578.17/18,729.24 = 9,794.39/x
  3. Step 3: Cross multiply
    13,578.17x = 18,729.24 × 9,794.39
  4. Step 4: Simplify right side
    13,578.17x = 183,441,480.96
  5. Step 5: Solve for x
    x = 183,441,480.96/13,578.17
  6. Step 6: Final answer
    x = 13,510.03

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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.