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Finding the Fourth Proportional to 20,380.68, 30,572.33 and 7,054.96

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Solution

The fourth proportional to 20,380.68, 30,572.33 and 7,054.96 is: 10,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.68 : 30,572.33 = 7,054.96 : x
  2. Step 2: Convert to fraction form
    20,380.68/30,572.33 = 7,054.96/x
  3. Step 3: Cross multiply
    20,380.68x = 30,572.33 × 7,054.96
  4. Step 4: Simplify right side
    20,380.68x = 215,686,607.88
  5. Step 5: Solve for x
    x = 215,686,607.88/20,380.68
  6. Step 6: Final answer
    x = 10,582.89

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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.