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Finding the Fourth Proportional to 25,987.72, 35,863.86 and 14,809

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Solution

The fourth proportional to 25,987.72, 35,863.86 and 14,809 is: 20,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.72 : 35,863.86 = 14,809 : x
  2. Step 2: Convert to fraction form
    25,987.72/35,863.86 = 14,809/x
  3. Step 3: Cross multiply
    25,987.72x = 35,863.86 × 14,809
  4. Step 4: Simplify right side
    25,987.72x = 531,107,902.74
  5. Step 5: Solve for x
    x = 531,107,902.74/25,987.72
  6. Step 6: Final answer
    x = 20,436.88

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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.