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Finding the Fourth Proportional to 21,297.30, 31,944.87 and 8,148.66

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Solution

The fourth proportional to 21,297.30, 31,944.87 and 8,148.66 is: 12,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.30 : 31,944.87 = 8,148.66 : x
  2. Step 2: Convert to fraction form
    21,297.30/31,944.87 = 8,148.66/x
  3. Step 3: Cross multiply
    21,297.30x = 31,944.87 × 8,148.66
  4. Step 4: Simplify right side
    21,297.30x = 260,307,884.37
  5. Step 5: Solve for x
    x = 260,307,884.37/21,297.30
  6. Step 6: Final answer
    x = 12,222.58

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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.