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Finding the Fourth Proportional to 15,231.75, 22,837.22 and 8,117.06

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Solution

The fourth proportional to 15,231.75, 22,837.22 and 8,117.06 is: 12,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.75 : 22,837.22 = 8,117.06 : x
  2. Step 2: Convert to fraction form
    15,231.75/22,837.22 = 8,117.06/x
  3. Step 3: Cross multiply
    15,231.75x = 22,837.22 × 8,117.06
  4. Step 4: Simplify right side
    15,231.75x = 185,370,930.20
  5. Step 5: Solve for x
    x = 185,370,930.20/15,231.75
  6. Step 6: Final answer
    x = 12,170.03

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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.