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Finding the Fourth Proportional to 12,271.81, 18,413.13 and 9,522.37

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Solution

The fourth proportional to 12,271.81, 18,413.13 and 9,522.37 is: 14,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.81 : 18,413.13 = 9,522.37 : x
  2. Step 2: Convert to fraction form
    12,271.81/18,413.13 = 9,522.37/x
  3. Step 3: Cross multiply
    12,271.81x = 18,413.13 × 9,522.37
  4. Step 4: Simplify right side
    12,271.81x = 175,336,636.72
  5. Step 5: Solve for x
    x = 175,336,636.72/12,271.81
  6. Step 6: Final answer
    x = 14,287.76

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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.