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Finding the Fourth Proportional to 15,836.50, 23,757.18 and 11,486.80

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Solution

The fourth proportional to 15,836.50, 23,757.18 and 11,486.80 is: 17,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.50 : 23,757.18 = 11,486.80 : x
  2. Step 2: Convert to fraction form
    15,836.50/23,757.18 = 11,486.80/x
  3. Step 3: Cross multiply
    15,836.50x = 23,757.18 × 11,486.80
  4. Step 4: Simplify right side
    15,836.50x = 272,893,975.22
  5. Step 5: Solve for x
    x = 272,893,975.22/15,836.50
  6. Step 6: Final answer
    x = 17,231.96

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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.