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Finding the Fourth Proportional to 26,805.60, 40,208.16 and 8,085.60

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Solution

The fourth proportional to 26,805.60, 40,208.16 and 8,085.60 is: 12,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805.60 : 40,208.16 = 8,085.60 : x
  2. Step 2: Convert to fraction form
    26,805.60/40,208.16 = 8,085.60/x
  3. Step 3: Cross multiply
    26,805.60x = 40,208.16 × 8,085.60
  4. Step 4: Simplify right side
    26,805.60x = 325,107,098.50
  5. Step 5: Solve for x
    x = 325,107,098.50/26,805.60
  6. Step 6: Final answer
    x = 12,128.33

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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.