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Finding the Fourth Proportional to 12,806, 19,216.56 and 5,409.98

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Solution

The fourth proportional to 12,806, 19,216.56 and 5,409.98 is: 8,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806 : 19,216.56 = 5,409.98 : x
  2. Step 2: Convert to fraction form
    12,806/19,216.56 = 5,409.98/x
  3. Step 3: Cross multiply
    12,806x = 19,216.56 × 5,409.98
  4. Step 4: Simplify right side
    12,806x = 103,961,205.27
  5. Step 5: Solve for x
    x = 103,961,205.27/12,806
  6. Step 6: Final answer
    x = 8,118.16

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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.