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Finding the Fourth Proportional to 18,277.60, 27,408.40 and 8,413.60

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Solution

The fourth proportional to 18,277.60, 27,408.40 and 8,413.60 is: 12,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.60 : 27,408.40 = 8,413.60 : x
  2. Step 2: Convert to fraction form
    18,277.60/27,408.40 = 8,413.60/x
  3. Step 3: Cross multiply
    18,277.60x = 27,408.40 × 8,413.60
  4. Step 4: Simplify right side
    18,277.60x = 230,603,314.24
  5. Step 5: Solve for x
    x = 230,603,314.24/18,277.60
  6. Step 6: Final answer
    x = 12,616.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.