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Finding the Fourth Proportional to 13,983.67, 19,297.47 and 7,696

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Solution

The fourth proportional to 13,983.67, 19,297.47 and 7,696 is: 10,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.67 : 19,297.47 = 7,696 : x
  2. Step 2: Convert to fraction form
    13,983.67/19,297.47 = 7,696/x
  3. Step 3: Cross multiply
    13,983.67x = 19,297.47 × 7,696
  4. Step 4: Simplify right side
    13,983.67x = 148,513,329.12
  5. Step 5: Solve for x
    x = 148,513,329.12/13,983.67
  6. Step 6: Final answer
    x = 10,620.48

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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.