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Finding the Fourth Proportional to 25,654.26, 35,406.02 and 14,896.78

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Solution

The fourth proportional to 25,654.26, 35,406.02 and 14,896.78 is: 20,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.26 : 35,406.02 = 14,896.78 : x
  2. Step 2: Convert to fraction form
    25,654.26/35,406.02 = 14,896.78/x
  3. Step 3: Cross multiply
    25,654.26x = 35,406.02 × 14,896.78
  4. Step 4: Simplify right side
    25,654.26x = 527,435,690.62
  5. Step 5: Solve for x
    x = 527,435,690.62/25,654.26
  6. Step 6: Final answer
    x = 20,559.38

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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.