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Finding the Fourth Proportional to 26,957.76, 40,409.10 and 9,413.16

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Solution

The fourth proportional to 26,957.76, 40,409.10 and 9,413.16 is: 14,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957.76 : 40,409.10 = 9,413.16 : x
  2. Step 2: Convert to fraction form
    26,957.76/40,409.10 = 9,413.16/x
  3. Step 3: Cross multiply
    26,957.76x = 40,409.10 × 9,413.16
  4. Step 4: Simplify right side
    26,957.76x = 380,377,323.76
  5. Step 5: Solve for x
    x = 380,377,323.76/26,957.76
  6. Step 6: Final answer
    x = 14,110.12

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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.