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Finding the Fourth Proportional to 21,497.00, 32,227.16 and 8,162.51

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Solution

The fourth proportional to 21,497.00, 32,227.16 and 8,162.51 is: 12,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.00 : 32,227.16 = 8,162.51 : x
  2. Step 2: Convert to fraction form
    21,497.00/32,227.16 = 8,162.51/x
  3. Step 3: Cross multiply
    21,497.00x = 32,227.16 × 8,162.51
  4. Step 4: Simplify right side
    21,497.00x = 263,054,313.82
  5. Step 5: Solve for x
    x = 263,054,313.82/21,497.00
  6. Step 6: Final answer
    x = 12,236.79

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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.