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Finding the Fourth Proportional to 25,290.92, 37,955.74 and 11,449.64

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Solution

The fourth proportional to 25,290.92, 37,955.74 and 11,449.64 is: 17,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,290.92 : 37,955.74 = 11,449.64 : x
  2. Step 2: Convert to fraction form
    25,290.92/37,955.74 = 11,449.64/x
  3. Step 3: Cross multiply
    25,290.92x = 37,955.74 × 11,449.64
  4. Step 4: Simplify right side
    25,290.92x = 434,579,558.93
  5. Step 5: Solve for x
    x = 434,579,558.93/25,290.92
  6. Step 6: Final answer
    x = 17,183.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.