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Finding the Fourth Proportional to 13,398.75, 18,491.22 and 7,735.23

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Solution

The fourth proportional to 13,398.75, 18,491.22 and 7,735.23 is: 10,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.75 : 18,491.22 = 7,735.23 : x
  2. Step 2: Convert to fraction form
    13,398.75/18,491.22 = 7,735.23/x
  3. Step 3: Cross multiply
    13,398.75x = 18,491.22 × 7,735.23
  4. Step 4: Simplify right side
    13,398.75x = 143,033,839.68
  5. Step 5: Solve for x
    x = 143,033,839.68/13,398.75
  6. Step 6: Final answer
    x = 10,675.16

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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.