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Finding the Fourth Proportional to 27,134.92, 40,702.14 and 7,413.48

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Solution

The fourth proportional to 27,134.92, 40,702.14 and 7,413.48 is: 11,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.92 : 40,702.14 = 7,413.48 : x
  2. Step 2: Convert to fraction form
    27,134.92/40,702.14 = 7,413.48/x
  3. Step 3: Cross multiply
    27,134.92x = 40,702.14 × 7,413.48
  4. Step 4: Simplify right side
    27,134.92x = 301,744,500.85
  5. Step 5: Solve for x
    x = 301,744,500.85/27,134.92
  6. Step 6: Final answer
    x = 11,120.15

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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.