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Finding the Fourth Proportional to 12,669.50, 19,006.78 and 3,904.04

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Solution

The fourth proportional to 12,669.50, 19,006.78 and 3,904.04 is: 5,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.50 : 19,006.78 = 3,904.04 : x
  2. Step 2: Convert to fraction form
    12,669.50/19,006.78 = 3,904.04/x
  3. Step 3: Cross multiply
    12,669.50x = 19,006.78 × 3,904.04
  4. Step 4: Simplify right side
    12,669.50x = 74,203,229.39
  5. Step 5: Solve for x
    x = 74,203,229.39/12,669.50
  6. Step 6: Final answer
    x = 5,856.84

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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.