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Finding the Fourth Proportional to 13,851.89, 20,765.51 and 5,084.75

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Solution

The fourth proportional to 13,851.89, 20,765.51 and 5,084.75 is: 7,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.89 : 20,765.51 = 5,084.75 : x
  2. Step 2: Convert to fraction form
    13,851.89/20,765.51 = 5,084.75/x
  3. Step 3: Cross multiply
    13,851.89x = 20,765.51 × 5,084.75
  4. Step 4: Simplify right side
    13,851.89x = 105,587,426.97
  5. Step 5: Solve for x
    x = 105,587,426.97/13,851.89
  6. Step 6: Final answer
    x = 7,622.60

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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.