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Finding the Fourth Proportional to 23,470.87, 35,211.84 and 7,675.84

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Solution

The fourth proportional to 23,470.87, 35,211.84 and 7,675.84 is: 11,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.87 : 35,211.84 = 7,675.84 : x
  2. Step 2: Convert to fraction form
    23,470.87/35,211.84 = 7,675.84/x
  3. Step 3: Cross multiply
    23,470.87x = 35,211.84 × 7,675.84
  4. Step 4: Simplify right side
    23,470.87x = 270,280,478.73
  5. Step 5: Solve for x
    x = 270,280,478.73/23,470.87
  6. Step 6: Final answer
    x = 11,515.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.