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Finding the Fourth Proportional to 13,071, 19,608.66 and 3,839.16

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Solution

The fourth proportional to 13,071, 19,608.66 and 3,839.16 is: 5,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 19,608.66 = 3,839.16 : x
  2. Step 2: Convert to fraction form
    13,071/19,608.66 = 3,839.16/x
  3. Step 3: Cross multiply
    13,071x = 19,608.66 × 3,839.16
  4. Step 4: Simplify right side
    13,071x = 75,280,783.13
  5. Step 5: Solve for x
    x = 75,280,783.13/13,071
  6. Step 6: Final answer
    x = 5,759.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.