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Finding the Fourth Proportional to 23,674.75, 35,516.95 and 9,634.65

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Solution

The fourth proportional to 23,674.75, 35,516.95 and 9,634.65 is: 14,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.75 : 35,516.95 = 9,634.65 : x
  2. Step 2: Convert to fraction form
    23,674.75/35,516.95 = 9,634.65/x
  3. Step 3: Cross multiply
    23,674.75x = 35,516.95 × 9,634.65
  4. Step 4: Simplify right side
    23,674.75x = 342,193,225.04
  5. Step 5: Solve for x
    x = 342,193,225.04/23,674.75
  6. Step 6: Final answer
    x = 14,453.93

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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.