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Finding the Fourth Proportional to 23,356.50, 35,034.57 and 6,716.67

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Solution

The fourth proportional to 23,356.50, 35,034.57 and 6,716.67 is: 10,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.50 : 35,034.57 = 6,716.67 : x
  2. Step 2: Convert to fraction form
    23,356.50/35,034.57 = 6,716.67/x
  3. Step 3: Cross multiply
    23,356.50x = 35,034.57 × 6,716.67
  4. Step 4: Simplify right side
    23,356.50x = 235,315,645.28
  5. Step 5: Solve for x
    x = 235,315,645.28/23,356.50
  6. Step 6: Final answer
    x = 10,074.95

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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.