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Finding the Fourth Proportional to 19,523.05, 29,290.05 and 7,844.47

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Solution

The fourth proportional to 19,523.05, 29,290.05 and 7,844.47 is: 11,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.05 : 29,290.05 = 7,844.47 : x
  2. Step 2: Convert to fraction form
    19,523.05/29,290.05 = 7,844.47/x
  3. Step 3: Cross multiply
    19,523.05x = 29,290.05 × 7,844.47
  4. Step 4: Simplify right side
    19,523.05x = 229,764,918.52
  5. Step 5: Solve for x
    x = 229,764,918.52/19,523.05
  6. Step 6: Final answer
    x = 11,768.90

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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.