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Finding the Fourth Proportional to 25,841.16, 38,754.36 and 7,116.48

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Solution

The fourth proportional to 25,841.16, 38,754.36 and 7,116.48 is: 10,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.16 : 38,754.36 = 7,116.48 : x
  2. Step 2: Convert to fraction form
    25,841.16/38,754.36 = 7,116.48/x
  3. Step 3: Cross multiply
    25,841.16x = 38,754.36 × 7,116.48
  4. Step 4: Simplify right side
    25,841.16x = 275,794,627.85
  5. Step 5: Solve for x
    x = 275,794,627.85/25,841.16
  6. Step 6: Final answer
    x = 10,672.69

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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.