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Finding the Fourth Proportional to 25,893.49, 38,832 and 8,359.24

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Solution

The fourth proportional to 25,893.49, 38,832 and 8,359.24 is: 12,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.49 : 38,832 = 8,359.24 : x
  2. Step 2: Convert to fraction form
    25,893.49/38,832 = 8,359.24/x
  3. Step 3: Cross multiply
    25,893.49x = 38,832 × 8,359.24
  4. Step 4: Simplify right side
    25,893.49x = 324,606,007.68
  5. Step 5: Solve for x
    x = 324,606,007.68/25,893.49
  6. Step 6: Final answer
    x = 12,536.20

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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.