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Finding the Fourth Proportional to 13,078.12, 19,616.46 and 7,671.49

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Solution

The fourth proportional to 13,078.12, 19,616.46 and 7,671.49 is: 11,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.12 : 19,616.46 = 7,671.49 : x
  2. Step 2: Convert to fraction form
    13,078.12/19,616.46 = 7,671.49/x
  3. Step 3: Cross multiply
    13,078.12x = 19,616.46 × 7,671.49
  4. Step 4: Simplify right side
    13,078.12x = 150,487,427.68
  5. Step 5: Solve for x
    x = 150,487,427.68/13,078.12
  6. Step 6: Final answer
    x = 11,506.81

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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.