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Finding the Fourth Proportional to 20,381.22, 30,568.14 and 7,054.20

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Solution

The fourth proportional to 20,381.22, 30,568.14 and 7,054.20 is: 10,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.22 : 30,568.14 = 7,054.20 : x
  2. Step 2: Convert to fraction form
    20,381.22/30,568.14 = 7,054.20/x
  3. Step 3: Cross multiply
    20,381.22x = 30,568.14 × 7,054.20
  4. Step 4: Simplify right side
    20,381.22x = 215,633,773.19
  5. Step 5: Solve for x
    x = 215,633,773.19/20,381.22
  6. Step 6: Final answer
    x = 10,580.02

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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.