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Finding the Fourth Proportional to 25,515.24, 38,256.24 and 8,874

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Solution

The fourth proportional to 25,515.24, 38,256.24 and 8,874 is: 13,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515.24 : 38,256.24 = 8,874 : x
  2. Step 2: Convert to fraction form
    25,515.24/38,256.24 = 8,874/x
  3. Step 3: Cross multiply
    25,515.24x = 38,256.24 × 8,874
  4. Step 4: Simplify right side
    25,515.24x = 339,485,873.76
  5. Step 5: Solve for x
    x = 339,485,873.76/25,515.24
  6. Step 6: Final answer
    x = 13,305.22

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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.