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Finding the Fourth Proportional to 25,804, 35,609.52 and 14,626

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Solution

The fourth proportional to 25,804, 35,609.52 and 14,626 is: 20,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804 : 35,609.52 = 14,626 : x
  2. Step 2: Convert to fraction form
    25,804/35,609.52 = 14,626/x
  3. Step 3: Cross multiply
    25,804x = 35,609.52 × 14,626
  4. Step 4: Simplify right side
    25,804x = 520,824,839.52
  5. Step 5: Solve for x
    x = 520,824,839.52/25,804
  6. Step 6: Final answer
    x = 20,183.88

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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.