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Finding the Fourth Proportional to 23,794.92, 35,653.46 and 14,406.50

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Solution

The fourth proportional to 23,794.92, 35,653.46 and 14,406.50 is: 21,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.92 : 35,653.46 = 14,406.50 : x
  2. Step 2: Convert to fraction form
    23,794.92/35,653.46 = 14,406.50/x
  3. Step 3: Cross multiply
    23,794.92x = 35,653.46 × 14,406.50
  4. Step 4: Simplify right side
    23,794.92x = 513,641,571.49
  5. Step 5: Solve for x
    x = 513,641,571.49/23,794.92
  6. Step 6: Final answer
    x = 21,586.19

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1.5x scale

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.