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Finding the Fourth Proportional to 20,965.47, 31,408.22 and 13,924.18

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Solution

The fourth proportional to 20,965.47, 31,408.22 and 13,924.18 is: 20,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.47 : 31,408.22 = 13,924.18 : x
  2. Step 2: Convert to fraction form
    20,965.47/31,408.22 = 13,924.18/x
  3. Step 3: Cross multiply
    20,965.47x = 31,408.22 × 13,924.18
  4. Step 4: Simplify right side
    20,965.47x = 437,333,922.62
  5. Step 5: Solve for x
    x = 437,333,922.62/20,965.47
  6. Step 6: Final answer
    x = 20,859.72

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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.