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Finding the Fourth Proportional to 19,809.39, 29,743.71 and 17,149.23

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Solution

The fourth proportional to 19,809.39, 29,743.71 and 17,149.23 is: 25,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.39 : 29,743.71 = 17,149.23 : x
  2. Step 2: Convert to fraction form
    19,809.39/29,743.71 = 17,149.23/x
  3. Step 3: Cross multiply
    19,809.39x = 29,743.71 × 17,149.23
  4. Step 4: Simplify right side
    19,809.39x = 510,081,723.84
  5. Step 5: Solve for x
    x = 510,081,723.84/19,809.39
  6. Step 6: Final answer
    x = 25,749.49

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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.