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Finding the Fourth Proportional to 23,870.94, 35,751.87 and 11,399.70

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Solution

The fourth proportional to 23,870.94, 35,751.87 and 11,399.70 is: 17,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.94 : 35,751.87 = 11,399.70 : x
  2. Step 2: Convert to fraction form
    23,870.94/35,751.87 = 11,399.70/x
  3. Step 3: Cross multiply
    23,870.94x = 35,751.87 × 11,399.70
  4. Step 4: Simplify right side
    23,870.94x = 407,560,458.37
  5. Step 5: Solve for x
    x = 407,560,458.37/23,870.94
  6. Step 6: Final answer
    x = 17,073.50

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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.