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Finding the Fourth Proportional to 12,373.53, 18,549.87 and 8,413.70

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Solution

The fourth proportional to 12,373.53, 18,549.87 and 8,413.70 is: 12,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.53 : 18,549.87 = 8,413.70 : x
  2. Step 2: Convert to fraction form
    12,373.53/18,549.87 = 8,413.70/x
  3. Step 3: Cross multiply
    12,373.53x = 18,549.87 × 8,413.70
  4. Step 4: Simplify right side
    12,373.53x = 156,073,028.25
  5. Step 5: Solve for x
    x = 156,073,028.25/12,373.53
  6. Step 6: Final answer
    x = 12,613.46

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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.