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Finding the Fourth Proportional to 23,782.41, 35,683.07 and 8,995.46

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Solution

The fourth proportional to 23,782.41, 35,683.07 and 8,995.46 is: 13,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.41 : 35,683.07 = 8,995.46 : x
  2. Step 2: Convert to fraction form
    23,782.41/35,683.07 = 8,995.46/x
  3. Step 3: Cross multiply
    23,782.41x = 35,683.07 × 8,995.46
  4. Step 4: Simplify right side
    23,782.41x = 320,985,405.47
  5. Step 5: Solve for x
    x = 320,985,405.47/23,782.41
  6. Step 6: Final answer
    x = 13,496.76

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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.