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Finding the Fourth Proportional to 16,384.31, 22,610.30 and 8,932.31

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Solution

The fourth proportional to 16,384.31, 22,610.30 and 8,932.31 is: 12,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.31 : 22,610.30 = 8,932.31 : x
  2. Step 2: Convert to fraction form
    16,384.31/22,610.30 = 8,932.31/x
  3. Step 3: Cross multiply
    16,384.31x = 22,610.30 × 8,932.31
  4. Step 4: Simplify right side
    16,384.31x = 201,962,164.13
  5. Step 5: Solve for x
    x = 201,962,164.13/16,384.31
  6. Step 6: Final answer
    x = 12,326.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.