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Finding the Fourth Proportional to 22,974.60, 31,706.52 and 13,413.84

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Solution

The fourth proportional to 22,974.60, 31,706.52 and 13,413.84 is: 18,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.60 : 31,706.52 = 13,413.84 : x
  2. Step 2: Convert to fraction form
    22,974.60/31,706.52 = 13,413.84/x
  3. Step 3: Cross multiply
    22,974.60x = 31,706.52 × 13,413.84
  4. Step 4: Simplify right side
    22,974.60x = 425,306,186.24
  5. Step 5: Solve for x
    x = 425,306,186.24/22,974.60
  6. Step 6: Final answer
    x = 18,512.02

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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.