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Finding the Fourth Proportional to 23,614.74, 35,413.79 and 6,970.32

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Solution

The fourth proportional to 23,614.74, 35,413.79 and 6,970.32 is: 10,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.74 : 35,413.79 = 6,970.32 : x
  2. Step 2: Convert to fraction form
    23,614.74/35,413.79 = 6,970.32/x
  3. Step 3: Cross multiply
    23,614.74x = 35,413.79 × 6,970.32
  4. Step 4: Simplify right side
    23,614.74x = 246,845,413.86
  5. Step 5: Solve for x
    x = 246,845,413.86/23,614.74
  6. Step 6: Final answer
    x = 10,453.02

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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.