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Finding the Fourth Proportional to 17,743.76, 26,615.66 and 7,219.50

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Solution

The fourth proportional to 17,743.76, 26,615.66 and 7,219.50 is: 10,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.76 : 26,615.66 = 7,219.50 : x
  2. Step 2: Convert to fraction form
    17,743.76/26,615.66 = 7,219.50/x
  3. Step 3: Cross multiply
    17,743.76x = 26,615.66 × 7,219.50
  4. Step 4: Simplify right side
    17,743.76x = 192,151,757.37
  5. Step 5: Solve for x
    x = 192,151,757.37/17,743.76
  6. Step 6: Final answer
    x = 10,829.26

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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.