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Finding the Fourth Proportional to 12,604.70, 18,904.61 and 3,838.47

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Solution

The fourth proportional to 12,604.70, 18,904.61 and 3,838.47 is: 5,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.70 : 18,904.61 = 3,838.47 : x
  2. Step 2: Convert to fraction form
    12,604.70/18,904.61 = 3,838.47/x
  3. Step 3: Cross multiply
    12,604.70x = 18,904.61 × 3,838.47
  4. Step 4: Simplify right side
    12,604.70x = 72,564,759.15
  5. Step 5: Solve for x
    x = 72,564,759.15/12,604.70
  6. Step 6: Final answer
    x = 5,756.96

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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.