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Finding the Fourth Proportional to 20,956.60, 31,408.08 and 9,838.72

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Solution

The fourth proportional to 20,956.60, 31,408.08 and 9,838.72 is: 14,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.60 : 31,408.08 = 9,838.72 : x
  2. Step 2: Convert to fraction form
    20,956.60/31,408.08 = 9,838.72/x
  3. Step 3: Cross multiply
    20,956.60x = 31,408.08 × 9,838.72
  4. Step 4: Simplify right side
    20,956.60x = 309,015,304.86
  5. Step 5: Solve for x
    x = 309,015,304.86/20,956.60
  6. Step 6: Final answer
    x = 14,745.49

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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.