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Finding the Fourth Proportional to 20,085.54, 27,720 and 11,701.50

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Solution

The fourth proportional to 20,085.54, 27,720 and 11,701.50 is: 16,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.54 : 27,720 = 11,701.50 : x
  2. Step 2: Convert to fraction form
    20,085.54/27,720 = 11,701.50/x
  3. Step 3: Cross multiply
    20,085.54x = 27,720 × 11,701.50
  4. Step 4: Simplify right side
    20,085.54x = 324,365,580
  5. Step 5: Solve for x
    x = 324,365,580/20,085.54
  6. Step 6: Final answer
    x = 16,149.21

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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.