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Finding the Fourth Proportional to 13,078.85, 18,048.77 and 7,414.70

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Solution

The fourth proportional to 13,078.85, 18,048.77 and 7,414.70 is: 10,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.85 : 18,048.77 = 7,414.70 : x
  2. Step 2: Convert to fraction form
    13,078.85/18,048.77 = 7,414.70/x
  3. Step 3: Cross multiply
    13,078.85x = 18,048.77 × 7,414.70
  4. Step 4: Simplify right side
    13,078.85x = 133,826,087.60
  5. Step 5: Solve for x
    x = 133,826,087.60/13,078.85
  6. Step 6: Final answer
    x = 10,232.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.