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Finding the Fourth Proportional to 12,866.40, 19,285.20 and 5,469.60

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Solution

The fourth proportional to 12,866.40, 19,285.20 and 5,469.60 is: 8,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.40 : 19,285.20 = 5,469.60 : x
  2. Step 2: Convert to fraction form
    12,866.40/19,285.20 = 5,469.60/x
  3. Step 3: Cross multiply
    12,866.40x = 19,285.20 × 5,469.60
  4. Step 4: Simplify right side
    12,866.40x = 105,482,329.92
  5. Step 5: Solve for x
    x = 105,482,329.92/12,866.40
  6. Step 6: Final answer
    x = 8,198.28

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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.