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Finding the Fourth Proportional to 20,194.89, 30,290.17 and 7,047.51

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Solution

The fourth proportional to 20,194.89, 30,290.17 and 7,047.51 is: 10,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.89 : 30,290.17 = 7,047.51 : x
  2. Step 2: Convert to fraction form
    20,194.89/30,290.17 = 7,047.51/x
  3. Step 3: Cross multiply
    20,194.89x = 30,290.17 × 7,047.51
  4. Step 4: Simplify right side
    20,194.89x = 213,470,275.98
  5. Step 5: Solve for x
    x = 213,470,275.98/20,194.89
  6. Step 6: Final answer
    x = 10,570.51

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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.