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Finding the Fourth Proportional to 21,614.94, 29,828.25 and 12,183.48

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Solution

The fourth proportional to 21,614.94, 29,828.25 and 12,183.48 is: 16,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.94 : 29,828.25 = 12,183.48 : x
  2. Step 2: Convert to fraction form
    21,614.94/29,828.25 = 12,183.48/x
  3. Step 3: Cross multiply
    21,614.94x = 29,828.25 × 12,183.48
  4. Step 4: Simplify right side
    21,614.94x = 363,411,887.31
  5. Step 5: Solve for x
    x = 363,411,887.31/21,614.94
  6. Step 6: Final answer
    x = 16,813.00

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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.