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Finding the Fourth Proportional to 12,751.20, 17,596.42 and 7,085.90

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Solution

The fourth proportional to 12,751.20, 17,596.42 and 7,085.90 is: 9,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.20 : 17,596.42 = 7,085.90 : x
  2. Step 2: Convert to fraction form
    12,751.20/17,596.42 = 7,085.90/x
  3. Step 3: Cross multiply
    12,751.20x = 17,596.42 × 7,085.90
  4. Step 4: Simplify right side
    12,751.20x = 124,686,498.75
  5. Step 5: Solve for x
    x = 124,686,498.75/12,751.20
  6. Step 6: Final answer
    x = 9,778.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.