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Finding the Fourth Proportional to 19,409.51, 26,758 and 16,413.32

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Solution

The fourth proportional to 19,409.51, 26,758 and 16,413.32 is: 22,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.51 : 26,758 = 16,413.32 : x
  2. Step 2: Convert to fraction form
    19,409.51/26,758 = 16,413.32/x
  3. Step 3: Cross multiply
    19,409.51x = 26,758 × 16,413.32
  4. Step 4: Simplify right side
    19,409.51x = 439,187,616.56
  5. Step 5: Solve for x
    x = 439,187,616.56/19,409.51
  6. Step 6: Final answer
    x = 22,627.44

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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.