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Finding the Fourth Proportional to 23,609.70, 35,414.43 and 8,814.78

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Solution

The fourth proportional to 23,609.70, 35,414.43 and 8,814.78 is: 13,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.70 : 35,414.43 = 8,814.78 : x
  2. Step 2: Convert to fraction form
    23,609.70/35,414.43 = 8,814.78/x
  3. Step 3: Cross multiply
    23,609.70x = 35,414.43 × 8,814.78
  4. Step 4: Simplify right side
    23,609.70x = 312,170,409.28
  5. Step 5: Solve for x
    x = 312,170,409.28/23,609.70
  6. Step 6: Final answer
    x = 13,222.13

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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.