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Finding the Fourth Proportional to 22,968.58, 31,694.28 and 15,413.40

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Solution

The fourth proportional to 22,968.58, 31,694.28 and 15,413.40 is: 21,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.58 : 31,694.28 = 15,413.40 : x
  2. Step 2: Convert to fraction form
    22,968.58/31,694.28 = 15,413.40/x
  3. Step 3: Cross multiply
    22,968.58x = 31,694.28 × 15,413.40
  4. Step 4: Simplify right side
    22,968.58x = 488,516,615.35
  5. Step 5: Solve for x
    x = 488,516,615.35/22,968.58
  6. Step 6: Final answer
    x = 21,268.91

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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.