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Finding the Fourth Proportional to 21,965.69, 30,312.66 and 11,894.13

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Solution

The fourth proportional to 21,965.69, 30,312.66 and 11,894.13 is: 16,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.69 : 30,312.66 = 11,894.13 : x
  2. Step 2: Convert to fraction form
    21,965.69/30,312.66 = 11,894.13/x
  3. Step 3: Cross multiply
    21,965.69x = 30,312.66 × 11,894.13
  4. Step 4: Simplify right side
    21,965.69x = 360,542,718.69
  5. Step 5: Solve for x
    x = 360,542,718.69/21,965.69
  6. Step 6: Final answer
    x = 16,413.90

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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.