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Finding the Fourth Proportional to 15,515.64, 21,413.16 and 9,144.21

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Solution

The fourth proportional to 15,515.64, 21,413.16 and 9,144.21 is: 12,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.64 : 21,413.16 = 9,144.21 : x
  2. Step 2: Convert to fraction form
    15,515.64/21,413.16 = 9,144.21/x
  3. Step 3: Cross multiply
    15,515.64x = 21,413.16 × 9,144.21
  4. Step 4: Simplify right side
    15,515.64x = 195,806,431.80
  5. Step 5: Solve for x
    x = 195,806,431.80/15,515.64
  6. Step 6: Final answer
    x = 12,619.94

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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.