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Finding the Fourth Proportional to 23,477.43, 35,224.02 and 7,683.20

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Solution

The fourth proportional to 23,477.43, 35,224.02 and 7,683.20 is: 11,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.43 : 35,224.02 = 7,683.20 : x
  2. Step 2: Convert to fraction form
    23,477.43/35,224.02 = 7,683.20/x
  3. Step 3: Cross multiply
    23,477.43x = 35,224.02 × 7,683.20
  4. Step 4: Simplify right side
    23,477.43x = 270,633,014.34
  5. Step 5: Solve for x
    x = 270,633,014.34/23,477.43
  6. Step 6: Final answer
    x = 11,527.37

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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.