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Finding the Fourth Proportional to 25,872.25, 35,703.75 and 14,694.25

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Solution

The fourth proportional to 25,872.25, 35,703.75 and 14,694.25 is: 20,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.25 : 35,703.75 = 14,694.25 : x
  2. Step 2: Convert to fraction form
    25,872.25/35,703.75 = 14,694.25/x
  3. Step 3: Cross multiply
    25,872.25x = 35,703.75 × 14,694.25
  4. Step 4: Simplify right side
    25,872.25x = 524,639,828.44
  5. Step 5: Solve for x
    x = 524,639,828.44/25,872.25
  6. Step 6: Final answer
    x = 20,278.09

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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.