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Finding the Fourth Proportional to 14,183, 21,284.24 and 4,949

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Solution

The fourth proportional to 14,183, 21,284.24 and 4,949 is: 7,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183 : 21,284.24 = 4,949 : x
  2. Step 2: Convert to fraction form
    14,183/21,284.24 = 4,949/x
  3. Step 3: Cross multiply
    14,183x = 21,284.24 × 4,949
  4. Step 4: Simplify right side
    14,183x = 105,335,703.76
  5. Step 5: Solve for x
    x = 105,335,703.76/14,183
  6. Step 6: Final answer
    x = 7,426.90

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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.