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Finding the Fourth Proportional to 16,686.69, 23,046.74 and 12,169.53

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Solution

The fourth proportional to 16,686.69, 23,046.74 and 12,169.53 is: 16,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.69 : 23,046.74 = 12,169.53 : x
  2. Step 2: Convert to fraction form
    16,686.69/23,046.74 = 12,169.53/x
  3. Step 3: Cross multiply
    16,686.69x = 23,046.74 × 12,169.53
  4. Step 4: Simplify right side
    16,686.69x = 280,467,932.98
  5. Step 5: Solve for x
    x = 280,467,932.98/16,686.69
  6. Step 6: Final answer
    x = 16,807.88

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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.