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Finding the Fourth Proportional to 15,842.66, 23,766.56 and 5,982.80

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Solution

The fourth proportional to 15,842.66, 23,766.56 and 5,982.80 is: 8,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.66 : 23,766.56 = 5,982.80 : x
  2. Step 2: Convert to fraction form
    15,842.66/23,766.56 = 5,982.80/x
  3. Step 3: Cross multiply
    15,842.66x = 23,766.56 × 5,982.80
  4. Step 4: Simplify right side
    15,842.66x = 142,190,575.17
  5. Step 5: Solve for x
    x = 142,190,575.17/15,842.66
  6. Step 6: Final answer
    x = 8,975.17

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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.