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Finding the Fourth Proportional to 16,538.14, 24,807.09 and 6,677.27

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Solution

The fourth proportional to 16,538.14, 24,807.09 and 6,677.27 is: 10,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.14 : 24,807.09 = 6,677.27 : x
  2. Step 2: Convert to fraction form
    16,538.14/24,807.09 = 6,677.27/x
  3. Step 3: Cross multiply
    16,538.14x = 24,807.09 × 6,677.27
  4. Step 4: Simplify right side
    16,538.14x = 165,643,637.84
  5. Step 5: Solve for x
    x = 165,643,637.84/16,538.14
  6. Step 6: Final answer
    x = 10,015.86

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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.