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Finding the Fourth Proportional to 27,413.34, 41,116.95 and 7,692.66

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Solution

The fourth proportional to 27,413.34, 41,116.95 and 7,692.66 is: 11,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.34 : 41,116.95 = 7,692.66 : x
  2. Step 2: Convert to fraction form
    27,413.34/41,116.95 = 7,692.66/x
  3. Step 3: Cross multiply
    27,413.34x = 41,116.95 × 7,692.66
  4. Step 4: Simplify right side
    27,413.34x = 316,298,716.59
  5. Step 5: Solve for x
    x = 316,298,716.59/27,413.34
  6. Step 6: Final answer
    x = 11,538.13

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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.