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Finding the Fourth Proportional to 23,494.36, 35,243.16 and 9,454.50

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Solution

The fourth proportional to 23,494.36, 35,243.16 and 9,454.50 is: 14,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.36 : 35,243.16 = 9,454.50 : x
  2. Step 2: Convert to fraction form
    23,494.36/35,243.16 = 9,454.50/x
  3. Step 3: Cross multiply
    23,494.36x = 35,243.16 × 9,454.50
  4. Step 4: Simplify right side
    23,494.36x = 333,206,611.14
  5. Step 5: Solve for x
    x = 333,206,611.14/23,494.36
  6. Step 6: Final answer
    x = 14,182.41

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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.