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Finding the Fourth Proportional to 12,804.52, 19,211.88 and 6,229.96

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Solution

The fourth proportional to 12,804.52, 19,211.88 and 6,229.96 is: 9,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.52 : 19,211.88 = 6,229.96 : x
  2. Step 2: Convert to fraction form
    12,804.52/19,211.88 = 6,229.96/x
  3. Step 3: Cross multiply
    12,804.52x = 19,211.88 × 6,229.96
  4. Step 4: Simplify right side
    12,804.52x = 119,689,243.92
  5. Step 5: Solve for x
    x = 119,689,243.92/12,804.52
  6. Step 6: Final answer
    x = 9,347.42

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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.