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Finding the Fourth Proportional to 20,032.96, 29,906.12 and 17,409.28

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Solution

The fourth proportional to 20,032.96, 29,906.12 and 17,409.28 is: 25,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.96 : 29,906.12 = 17,409.28 : x
  2. Step 2: Convert to fraction form
    20,032.96/29,906.12 = 17,409.28/x
  3. Step 3: Cross multiply
    20,032.96x = 29,906.12 × 17,409.28
  4. Step 4: Simplify right side
    20,032.96x = 520,644,016.79
  5. Step 5: Solve for x
    x = 520,644,016.79/20,032.96
  6. Step 6: Final answer
    x = 25,989.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.