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Finding the Fourth Proportional to 14,093.60, 21,141.84 and 4,857.44

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Solution

The fourth proportional to 14,093.60, 21,141.84 and 4,857.44 is: 7,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.60 : 21,141.84 = 4,857.44 : x
  2. Step 2: Convert to fraction form
    14,093.60/21,141.84 = 4,857.44/x
  3. Step 3: Cross multiply
    14,093.60x = 21,141.84 × 4,857.44
  4. Step 4: Simplify right side
    14,093.60x = 102,695,219.29
  5. Step 5: Solve for x
    x = 102,695,219.29/14,093.60
  6. Step 6: Final answer
    x = 7,286.66

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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.