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Finding the Fourth Proportional to 23,413.52, 35,089.32 and 14,023.28

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Solution

The fourth proportional to 23,413.52, 35,089.32 and 14,023.28 is: 21,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.52 : 35,089.32 = 14,023.28 : x
  2. Step 2: Convert to fraction form
    23,413.52/35,089.32 = 14,023.28/x
  3. Step 3: Cross multiply
    23,413.52x = 35,089.32 × 14,023.28
  4. Step 4: Simplify right side
    23,413.52x = 492,067,359.37
  5. Step 5: Solve for x
    x = 492,067,359.37/23,413.52
  6. Step 6: Final answer
    x = 21,016.38

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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.