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Finding the Fourth Proportional to 25,825.76, 38,733.54 and 7,100.97

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Solution

The fourth proportional to 25,825.76, 38,733.54 and 7,100.97 is: 10,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.76 : 38,733.54 = 7,100.97 : x
  2. Step 2: Convert to fraction form
    25,825.76/38,733.54 = 7,100.97/x
  3. Step 3: Cross multiply
    25,825.76x = 38,733.54 × 7,100.97
  4. Step 4: Simplify right side
    25,825.76x = 275,045,476.36
  5. Step 5: Solve for x
    x = 275,045,476.36/25,825.76
  6. Step 6: Final answer
    x = 10,650.04

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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.