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Finding the Fourth Proportional to 14,093.16, 21,142.14 and 4,857

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Solution

The fourth proportional to 14,093.16, 21,142.14 and 4,857 is: 7,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.16 : 21,142.14 = 4,857 : x
  2. Step 2: Convert to fraction form
    14,093.16/21,142.14 = 4,857/x
  3. Step 3: Cross multiply
    14,093.16x = 21,142.14 × 4,857
  4. Step 4: Simplify right side
    14,093.16x = 102,687,373.98
  5. Step 5: Solve for x
    x = 102,687,373.98/14,093.16
  6. Step 6: Final answer
    x = 7,286.33

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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.