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Finding the Fourth Proportional to 13,735.33, 18,954.69 and 7,767.01

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Solution

The fourth proportional to 13,735.33, 18,954.69 and 7,767.01 is: 10,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.33 : 18,954.69 = 7,767.01 : x
  2. Step 2: Convert to fraction form
    13,735.33/18,954.69 = 7,767.01/x
  3. Step 3: Cross multiply
    13,735.33x = 18,954.69 × 7,767.01
  4. Step 4: Simplify right side
    13,735.33x = 147,221,266.78
  5. Step 5: Solve for x
    x = 147,221,266.78/13,735.33
  6. Step 6: Final answer
    x = 10,718.44

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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.