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Finding the Fourth Proportional to 16,952.14, 23,413.11 and 11,565.33

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Solution

The fourth proportional to 16,952.14, 23,413.11 and 11,565.33 is: 15,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.14 : 23,413.11 = 11,565.33 : x
  2. Step 2: Convert to fraction form
    16,952.14/23,413.11 = 11,565.33/x
  3. Step 3: Cross multiply
    16,952.14x = 23,413.11 × 11,565.33
  4. Step 4: Simplify right side
    16,952.14x = 270,780,343.48
  5. Step 5: Solve for x
    x = 270,780,343.48/16,952.14
  6. Step 6: Final answer
    x = 15,973.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.