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Finding the Fourth Proportional to 25,805.26, 38,707.94 and 7,085.55

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Solution

The fourth proportional to 25,805.26, 38,707.94 and 7,085.55 is: 10,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.26 : 38,707.94 = 7,085.55 : x
  2. Step 2: Convert to fraction form
    25,805.26/38,707.94 = 7,085.55/x
  3. Step 3: Cross multiply
    25,805.26x = 38,707.94 × 7,085.55
  4. Step 4: Simplify right side
    25,805.26x = 274,267,044.27
  5. Step 5: Solve for x
    x = 274,267,044.27/25,805.26
  6. Step 6: Final answer
    x = 10,628.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.