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Finding the Fourth Proportional to 23,413.96, 35,125.74 and 7,831.72

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Solution

The fourth proportional to 23,413.96, 35,125.74 and 7,831.72 is: 11,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.96 : 35,125.74 = 7,831.72 : x
  2. Step 2: Convert to fraction form
    23,413.96/35,125.74 = 7,831.72/x
  3. Step 3: Cross multiply
    23,413.96x = 35,125.74 × 7,831.72
  4. Step 4: Simplify right side
    23,413.96x = 275,094,960.47
  5. Step 5: Solve for x
    x = 275,094,960.47/23,413.96
  6. Step 6: Final answer
    x = 11,749.19

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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.