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Finding the Fourth Proportional to 26,483.82, 39,721.41 and 8,011.50

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Solution

The fourth proportional to 26,483.82, 39,721.41 and 8,011.50 is: 12,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,483.82 : 39,721.41 = 8,011.50 : x
  2. Step 2: Convert to fraction form
    26,483.82/39,721.41 = 8,011.50/x
  3. Step 3: Cross multiply
    26,483.82x = 39,721.41 × 8,011.50
  4. Step 4: Simplify right side
    26,483.82x = 318,228,076.22
  5. Step 5: Solve for x
    x = 318,228,076.22/26,483.82
  6. Step 6: Final answer
    x = 12,015.94

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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.