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Finding the Fourth Proportional to 16,133.92, 24,207.09 and 7,813.30

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Solution

The fourth proportional to 16,133.92, 24,207.09 and 7,813.30 is: 11,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.92 : 24,207.09 = 7,813.30 : x
  2. Step 2: Convert to fraction form
    16,133.92/24,207.09 = 7,813.30/x
  3. Step 3: Cross multiply
    16,133.92x = 24,207.09 × 7,813.30
  4. Step 4: Simplify right side
    16,133.92x = 189,137,166.48
  5. Step 5: Solve for x
    x = 189,137,166.48/16,133.92
  6. Step 6: Final answer
    x = 11,722.95

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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.