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Finding the Fourth Proportional to 12,847.40, 19,256.70 and 5,450.60

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Solution

The fourth proportional to 12,847.40, 19,256.70 and 5,450.60 is: 8,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.40 : 19,256.70 = 5,450.60 : x
  2. Step 2: Convert to fraction form
    12,847.40/19,256.70 = 5,450.60/x
  3. Step 3: Cross multiply
    12,847.40x = 19,256.70 × 5,450.60
  4. Step 4: Simplify right side
    12,847.40x = 104,960,569.02
  5. Step 5: Solve for x
    x = 104,960,569.02/12,847.40
  6. Step 6: Final answer
    x = 8,169.79

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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.