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Finding the Fourth Proportional to 14,408.64, 19,884.24 and 8,441.28

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Solution

The fourth proportional to 14,408.64, 19,884.24 and 8,441.28 is: 11,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.64 : 19,884.24 = 8,441.28 : x
  2. Step 2: Convert to fraction form
    14,408.64/19,884.24 = 8,441.28/x
  3. Step 3: Cross multiply
    14,408.64x = 19,884.24 × 8,441.28
  4. Step 4: Simplify right side
    14,408.64x = 167,848,437.43
  5. Step 5: Solve for x
    x = 167,848,437.43/14,408.64
  6. Step 6: Final answer
    x = 11,649.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.