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Finding the Fourth Proportional to 16,206.72, 24,274.81 and 7,869.21

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Solution

The fourth proportional to 16,206.72, 24,274.81 and 7,869.21 is: 11,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.72 : 24,274.81 = 7,869.21 : x
  2. Step 2: Convert to fraction form
    16,206.72/24,274.81 = 7,869.21/x
  3. Step 3: Cross multiply
    16,206.72x = 24,274.81 × 7,869.21
  4. Step 4: Simplify right side
    16,206.72x = 191,023,577.60
  5. Step 5: Solve for x
    x = 191,023,577.60/16,206.72
  6. Step 6: Final answer
    x = 11,786.69

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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.