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Finding the Fourth Proportional to 16,413.22, 22,642.50 and 11,935

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Solution

The fourth proportional to 16,413.22, 22,642.50 and 11,935 is: 16,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.22 : 22,642.50 = 11,935 : x
  2. Step 2: Convert to fraction form
    16,413.22/22,642.50 = 11,935/x
  3. Step 3: Cross multiply
    16,413.22x = 22,642.50 × 11,935
  4. Step 4: Simplify right side
    16,413.22x = 270,238,237.50
  5. Step 5: Solve for x
    x = 270,238,237.50/16,413.22
  6. Step 6: Final answer
    x = 16,464.67

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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.