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Finding the Fourth Proportional to 12,806.22, 19,218 and 4,486.30

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Solution

The fourth proportional to 12,806.22, 19,218 and 4,486.30 is: 6,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.22 : 19,218 = 4,486.30 : x
  2. Step 2: Convert to fraction form
    12,806.22/19,218 = 4,486.30/x
  3. Step 3: Cross multiply
    12,806.22x = 19,218 × 4,486.30
  4. Step 4: Simplify right side
    12,806.22x = 86,217,713.40
  5. Step 5: Solve for x
    x = 86,217,713.40/12,806.22
  6. Step 6: Final answer
    x = 6,732.49

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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.