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Finding the Fourth Proportional to 25,872.81, 35,704.52 and 14,694.81

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Solution

The fourth proportional to 25,872.81, 35,704.52 and 14,694.81 is: 20,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.81 : 35,704.52 = 14,694.81 : x
  2. Step 2: Convert to fraction form
    25,872.81/35,704.52 = 14,694.81/x
  3. Step 3: Cross multiply
    25,872.81x = 35,704.52 × 14,694.81
  4. Step 4: Simplify right side
    25,872.81x = 524,671,137.54
  5. Step 5: Solve for x
    x = 524,671,137.54/25,872.81
  6. Step 6: Final answer
    x = 20,278.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.