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Finding the Fourth Proportional to 13,767.93, 18,996.62 and 7,798.23

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Solution

The fourth proportional to 13,767.93, 18,996.62 and 7,798.23 is: 10,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.93 : 18,996.62 = 7,798.23 : x
  2. Step 2: Convert to fraction form
    13,767.93/18,996.62 = 7,798.23/x
  3. Step 3: Cross multiply
    13,767.93x = 18,996.62 × 7,798.23
  4. Step 4: Simplify right side
    13,767.93x = 148,139,972.99
  5. Step 5: Solve for x
    x = 148,139,972.99/13,767.93
  6. Step 6: Final answer
    x = 10,759.79

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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.