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Finding the Fourth Proportional to 12,806.83, 19,197.09 and 4,907.21

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Solution

The fourth proportional to 12,806.83, 19,197.09 and 4,907.21 is: 7,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.83 : 19,197.09 = 4,907.21 : x
  2. Step 2: Convert to fraction form
    12,806.83/19,197.09 = 4,907.21/x
  3. Step 3: Cross multiply
    12,806.83x = 19,197.09 × 4,907.21
  4. Step 4: Simplify right side
    12,806.83x = 94,204,152.02
  5. Step 5: Solve for x
    x = 94,204,152.02/12,806.83
  6. Step 6: Final answer
    x = 7,355.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.