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Finding the Fourth Proportional to 20,032.96, 30,053.72 and 5,994.12

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Solution

The fourth proportional to 20,032.96, 30,053.72 and 5,994.12 is: 8,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.96 : 30,053.72 = 5,994.12 : x
  2. Step 2: Convert to fraction form
    20,032.96/30,053.72 = 5,994.12/x
  3. Step 3: Cross multiply
    20,032.96x = 30,053.72 × 5,994.12
  4. Step 4: Simplify right side
    20,032.96x = 180,145,604.13
  5. Step 5: Solve for x
    x = 180,145,604.13/20,032.96
  6. Step 6: Final answer
    x = 8,992.46

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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.