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Finding the Fourth Proportional to 17,128.64, 23,639.20 and 10,413.68

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Solution

The fourth proportional to 17,128.64, 23,639.20 and 10,413.68 is: 14,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,128.64 : 23,639.20 = 10,413.68 : x
  2. Step 2: Convert to fraction form
    17,128.64/23,639.20 = 10,413.68/x
  3. Step 3: Cross multiply
    17,128.64x = 23,639.20 × 10,413.68
  4. Step 4: Simplify right side
    17,128.64x = 246,171,064.26
  5. Step 5: Solve for x
    x = 246,171,064.26/17,128.64
  6. Step 6: Final answer
    x = 14,371.90

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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.