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Finding the Fourth Proportional to 20,589.82, 30,900.38 and 14,261.15

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Solution

The fourth proportional to 20,589.82, 30,900.38 and 14,261.15 is: 21,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.82 : 30,900.38 = 14,261.15 : x
  2. Step 2: Convert to fraction form
    20,589.82/30,900.38 = 14,261.15/x
  3. Step 3: Cross multiply
    20,589.82x = 30,900.38 × 14,261.15
  4. Step 4: Simplify right side
    20,589.82x = 440,674,960.18
  5. Step 5: Solve for x
    x = 440,674,960.18/20,589.82
  6. Step 6: Final answer
    x = 21,402.57

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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.