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Finding the Fourth Proportional to 23,400.99, 35,057.07 and 13,893.24

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Solution

The fourth proportional to 23,400.99, 35,057.07 and 13,893.24 is: 20,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.99 : 35,057.07 = 13,893.24 : x
  2. Step 2: Convert to fraction form
    23,400.99/35,057.07 = 13,893.24/x
  3. Step 3: Cross multiply
    23,400.99x = 35,057.07 × 13,893.24
  4. Step 4: Simplify right side
    23,400.99x = 487,056,470.77
  5. Step 5: Solve for x
    x = 487,056,470.77/23,400.99
  6. Step 6: Final answer
    x = 20,813.50

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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.