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Finding the Fourth Proportional to 26,605.26, 39,894.30 and 8,829.54

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Solution

The fourth proportional to 26,605.26, 39,894.30 and 8,829.54 is: 13,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605.26 : 39,894.30 = 8,829.54 : x
  2. Step 2: Convert to fraction form
    26,605.26/39,894.30 = 8,829.54/x
  3. Step 3: Cross multiply
    26,605.26x = 39,894.30 × 8,829.54
  4. Step 4: Simplify right side
    26,605.26x = 352,248,317.62
  5. Step 5: Solve for x
    x = 352,248,317.62/26,605.26
  6. Step 6: Final answer
    x = 13,239.80

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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.