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Finding the Fourth Proportional to 22,942.67, 34,413.93 and 6,302.72

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Solution

The fourth proportional to 22,942.67, 34,413.93 and 6,302.72 is: 9,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.67 : 34,413.93 = 6,302.72 : x
  2. Step 2: Convert to fraction form
    22,942.67/34,413.93 = 6,302.72/x
  3. Step 3: Cross multiply
    22,942.67x = 34,413.93 × 6,302.72
  4. Step 4: Simplify right side
    22,942.67x = 216,901,364.89
  5. Step 5: Solve for x
    x = 216,901,364.89/22,942.67
  6. Step 6: Final answer
    x = 9,454.06

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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.