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Finding the Fourth Proportional to 12,237.20, 18,356.40 and 6,405.20

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Solution

The fourth proportional to 12,237.20, 18,356.40 and 6,405.20 is: 9,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.20 : 18,356.40 = 6,405.20 : x
  2. Step 2: Convert to fraction form
    12,237.20/18,356.40 = 6,405.20/x
  3. Step 3: Cross multiply
    12,237.20x = 18,356.40 × 6,405.20
  4. Step 4: Simplify right side
    12,237.20x = 117,576,413.28
  5. Step 5: Solve for x
    x = 117,576,413.28/12,237.20
  6. Step 6: Final answer
    x = 9,608.11

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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.