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Finding the Fourth Proportional to 20,085.96, 30,129.12 and 5,296.98

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Solution

The fourth proportional to 20,085.96, 30,129.12 and 5,296.98 is: 7,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.96 : 30,129.12 = 5,296.98 : x
  2. Step 2: Convert to fraction form
    20,085.96/30,129.12 = 5,296.98/x
  3. Step 3: Cross multiply
    20,085.96x = 30,129.12 × 5,296.98
  4. Step 4: Simplify right side
    20,085.96x = 159,593,346.06
  5. Step 5: Solve for x
    x = 159,593,346.06/20,085.96
  6. Step 6: Final answer
    x = 7,945.52

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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.