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Finding the Fourth Proportional to 21,148.02, 31,724.82 and 7,819.20

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Solution

The fourth proportional to 21,148.02, 31,724.82 and 7,819.20 is: 11,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.02 : 31,724.82 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    21,148.02/31,724.82 = 7,819.20/x
  3. Step 3: Cross multiply
    21,148.02x = 31,724.82 × 7,819.20
  4. Step 4: Simplify right side
    21,148.02x = 248,062,712.54
  5. Step 5: Solve for x
    x = 248,062,712.54/21,148.02
  6. Step 6: Final answer
    x = 11,729.83

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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.