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Finding the Fourth Proportional to 18,259.65, 27,401.44 and 6,413.11

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Solution

The fourth proportional to 18,259.65, 27,401.44 and 6,413.11 is: 9,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.65 : 27,401.44 = 6,413.11 : x
  2. Step 2: Convert to fraction form
    18,259.65/27,401.44 = 6,413.11/x
  3. Step 3: Cross multiply
    18,259.65x = 27,401.44 × 6,413.11
  4. Step 4: Simplify right side
    18,259.65x = 175,728,448.88
  5. Step 5: Solve for x
    x = 175,728,448.88/18,259.65
  6. Step 6: Final answer
    x = 9,623.87

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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.