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Finding the Fourth Proportional to 16,384.68, 22,610.52 and 8,932.68

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Solution

The fourth proportional to 16,384.68, 22,610.52 and 8,932.68 is: 12,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.68 : 22,610.52 = 8,932.68 : x
  2. Step 2: Convert to fraction form
    16,384.68/22,610.52 = 8,932.68/x
  3. Step 3: Cross multiply
    16,384.68x = 22,610.52 × 8,932.68
  4. Step 4: Simplify right side
    16,384.68x = 201,972,539.79
  5. Step 5: Solve for x
    x = 201,972,539.79/16,384.68
  6. Step 6: Final answer
    x = 12,326.91

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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.