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Finding the Fourth Proportional to 12,224.50, 18,336.59 and 3,904.40

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Solution

The fourth proportional to 12,224.50, 18,336.59 and 3,904.40 is: 5,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.50 : 18,336.59 = 3,904.40 : x
  2. Step 2: Convert to fraction form
    12,224.50/18,336.59 = 3,904.40/x
  3. Step 3: Cross multiply
    12,224.50x = 18,336.59 × 3,904.40
  4. Step 4: Simplify right side
    12,224.50x = 71,593,382.00
  5. Step 5: Solve for x
    x = 71,593,382.00/12,224.50
  6. Step 6: Final answer
    x = 5,856.55

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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.