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Finding the Fourth Proportional to 15,515.68, 21,413.21 and 9,144.24

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Solution

The fourth proportional to 15,515.68, 21,413.21 and 9,144.24 is: 12,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.68 : 21,413.21 = 9,144.24 : x
  2. Step 2: Convert to fraction form
    15,515.68/21,413.21 = 9,144.24/x
  3. Step 3: Cross multiply
    15,515.68x = 21,413.21 × 9,144.24
  4. Step 4: Simplify right side
    15,515.68x = 195,807,577.28
  5. Step 5: Solve for x
    x = 195,807,577.28/15,515.68
  6. Step 6: Final answer
    x = 12,619.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.