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Finding the Fourth Proportional to 26,673.78, 40,010.64 and 8,205.78

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Solution

The fourth proportional to 26,673.78, 40,010.64 and 8,205.78 is: 12,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,673.78 : 40,010.64 = 8,205.78 : x
  2. Step 2: Convert to fraction form
    26,673.78/40,010.64 = 8,205.78/x
  3. Step 3: Cross multiply
    26,673.78x = 40,010.64 × 8,205.78
  4. Step 4: Simplify right side
    26,673.78x = 328,318,509.50
  5. Step 5: Solve for x
    x = 328,318,509.50/26,673.78
  6. Step 6: Final answer
    x = 12,308.66

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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.