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Finding the Fourth Proportional to 20,032.56, 30,009.60 and 13,086

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Solution

The fourth proportional to 20,032.56, 30,009.60 and 13,086 is: 19,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.56 : 30,009.60 = 13,086 : x
  2. Step 2: Convert to fraction form
    20,032.56/30,009.60 = 13,086/x
  3. Step 3: Cross multiply
    20,032.56x = 30,009.60 × 13,086
  4. Step 4: Simplify right side
    20,032.56x = 392,705,625.60
  5. Step 5: Solve for x
    x = 392,705,625.60/20,032.56
  6. Step 6: Final answer
    x = 19,603.37

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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.