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Finding the Fourth Proportional to 19,589.25, 29,383.81 and 7,109.26

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Solution

The fourth proportional to 19,589.25, 29,383.81 and 7,109.26 is: 10,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.25 : 29,383.81 = 7,109.26 : x
  2. Step 2: Convert to fraction form
    19,589.25/29,383.81 = 7,109.26/x
  3. Step 3: Cross multiply
    19,589.25x = 29,383.81 × 7,109.26
  4. Step 4: Simplify right side
    19,589.25x = 208,897,093.84
  5. Step 5: Solve for x
    x = 208,897,093.84/19,589.25
  6. Step 6: Final answer
    x = 10,663.86

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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.