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Finding the Fourth Proportional to 15,114.64, 22,651.26 and 11,413.84

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Solution

The fourth proportional to 15,114.64, 22,651.26 and 11,413.84 is: 17,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.64 : 22,651.26 = 11,413.84 : x
  2. Step 2: Convert to fraction form
    15,114.64/22,651.26 = 11,413.84/x
  3. Step 3: Cross multiply
    15,114.64x = 22,651.26 × 11,413.84
  4. Step 4: Simplify right side
    15,114.64x = 258,537,857.44
  5. Step 5: Solve for x
    x = 258,537,857.44/15,114.64
  6. Step 6: Final answer
    x = 17,105.13

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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.