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Finding the Fourth Proportional to 25,819.76, 38,724.98 and 6,844.52

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Solution

The fourth proportional to 25,819.76, 38,724.98 and 6,844.52 is: 10,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,819.76 : 38,724.98 = 6,844.52 : x
  2. Step 2: Convert to fraction form
    25,819.76/38,724.98 = 6,844.52/x
  3. Step 3: Cross multiply
    25,819.76x = 38,724.98 × 6,844.52
  4. Step 4: Simplify right side
    25,819.76x = 265,053,900.11
  5. Step 5: Solve for x
    x = 265,053,900.11/25,819.76
  6. Step 6: Final answer
    x = 10,265.54

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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.