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Finding the Fourth Proportional to 39,414.65, 54,391.50 and 21,509.19

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Solution

The fourth proportional to 39,414.65, 54,391.50 and 21,509.19 is: 29,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.65 : 54,391.50 = 21,509.19 : x
  2. Step 2: Convert to fraction form
    39,414.65/54,391.50 = 21,509.19/x
  3. Step 3: Cross multiply
    39,414.65x = 54,391.50 × 21,509.19
  4. Step 4: Simplify right side
    39,414.65x = 1,169,917,107.89
  5. Step 5: Solve for x
    x = 1,169,917,107.89/39,414.65
  6. Step 6: Final answer
    x = 29,682.29

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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.