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Finding the Fourth Proportional to 13,107.96, 19,658.49 and 8,947.20

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Solution

The fourth proportional to 13,107.96, 19,658.49 and 8,947.20 is: 13,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.96 : 19,658.49 = 8,947.20 : x
  2. Step 2: Convert to fraction form
    13,107.96/19,658.49 = 8,947.20/x
  3. Step 3: Cross multiply
    13,107.96x = 19,658.49 × 8,947.20
  4. Step 4: Simplify right side
    13,107.96x = 175,888,441.73
  5. Step 5: Solve for x
    x = 175,888,441.73/13,107.96
  6. Step 6: Final answer
    x = 13,418.45

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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.