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Finding the Fourth Proportional to 23,413.66, 35,138.94 and 10,275.10

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Solution

The fourth proportional to 23,413.66, 35,138.94 and 10,275.10 is: 15,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.66 : 35,138.94 = 10,275.10 : x
  2. Step 2: Convert to fraction form
    23,413.66/35,138.94 = 10,275.10/x
  3. Step 3: Cross multiply
    23,413.66x = 35,138.94 × 10,275.10
  4. Step 4: Simplify right side
    23,413.66x = 361,056,122.39
  5. Step 5: Solve for x
    x = 361,056,122.39/23,413.66
  6. Step 6: Final answer
    x = 15,420.75

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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.