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Finding the Fourth Proportional to 14,408.64, 21,612.96 and 3,464.64

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Solution

The fourth proportional to 14,408.64, 21,612.96 and 3,464.64 is: 5,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.64 : 21,612.96 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    14,408.64/21,612.96 = 3,464.64/x
  3. Step 3: Cross multiply
    14,408.64x = 21,612.96 × 3,464.64
  4. Step 4: Simplify right side
    14,408.64x = 74,881,125.73
  5. Step 5: Solve for x
    x = 74,881,125.73/14,408.64
  6. Step 6: Final answer
    x = 5,196.96

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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.