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Finding the Fourth Proportional to 15,509.75, 23,243.78 and 8,479.22

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Solution

The fourth proportional to 15,509.75, 23,243.78 and 8,479.22 is: 12,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.75 : 23,243.78 = 8,479.22 : x
  2. Step 2: Convert to fraction form
    15,509.75/23,243.78 = 8,479.22/x
  3. Step 3: Cross multiply
    15,509.75x = 23,243.78 × 8,479.22
  4. Step 4: Simplify right side
    15,509.75x = 197,089,029.23
  5. Step 5: Solve for x
    x = 197,089,029.23/15,509.75
  6. Step 6: Final answer
    x = 12,707.43

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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.