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Finding the Fourth Proportional to 23,604.26, 35,411.60 and 7,814.21

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Solution

The fourth proportional to 23,604.26, 35,411.60 and 7,814.21 is: 11,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.26 : 35,411.60 = 7,814.21 : x
  2. Step 2: Convert to fraction form
    23,604.26/35,411.60 = 7,814.21/x
  3. Step 3: Cross multiply
    23,604.26x = 35,411.60 × 7,814.21
  4. Step 4: Simplify right side
    23,604.26x = 276,713,678.84
  5. Step 5: Solve for x
    x = 276,713,678.84/23,604.26
  6. Step 6: Final answer
    x = 11,723.04

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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.