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Finding the Fourth Proportional to 27,835.50, 38,413.13 and 16,657.50

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Solution

The fourth proportional to 27,835.50, 38,413.13 and 16,657.50 is: 22,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.50 : 38,413.13 = 16,657.50 : x
  2. Step 2: Convert to fraction form
    27,835.50/38,413.13 = 16,657.50/x
  3. Step 3: Cross multiply
    27,835.50x = 38,413.13 × 16,657.50
  4. Step 4: Simplify right side
    27,835.50x = 639,866,712.98
  5. Step 5: Solve for x
    x = 639,866,712.98/27,835.50
  6. Step 6: Final answer
    x = 22,987.43

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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.