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Finding the Fourth Proportional to 23,680.56, 35,516.34 and 7,883.22

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Solution

The fourth proportional to 23,680.56, 35,516.34 and 7,883.22 is: 11,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.56 : 35,516.34 = 7,883.22 : x
  2. Step 2: Convert to fraction form
    23,680.56/35,516.34 = 7,883.22/x
  3. Step 3: Cross multiply
    23,680.56x = 35,516.34 × 7,883.22
  4. Step 4: Simplify right side
    23,680.56x = 279,983,121.81
  5. Step 5: Solve for x
    x = 279,983,121.81/23,680.56
  6. Step 6: Final answer
    x = 11,823.33

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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.