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Finding the Fourth Proportional to 20,278.64, 30,408.96 and 9,184.88

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Solution

The fourth proportional to 20,278.64, 30,408.96 and 9,184.88 is: 13,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.64 : 30,408.96 = 9,184.88 : x
  2. Step 2: Convert to fraction form
    20,278.64/30,408.96 = 9,184.88/x
  3. Step 3: Cross multiply
    20,278.64x = 30,408.96 × 9,184.88
  4. Step 4: Simplify right side
    20,278.64x = 279,302,648.52
  5. Step 5: Solve for x
    x = 279,302,648.52/20,278.64
  6. Step 6: Final answer
    x = 13,773.24

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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.