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Finding the Fourth Proportional to 16,380.33, 24,566.84 and 7,946.56

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Solution

The fourth proportional to 16,380.33, 24,566.84 and 7,946.56 is: 11,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.33 : 24,566.84 = 7,946.56 : x
  2. Step 2: Convert to fraction form
    16,380.33/24,566.84 = 7,946.56/x
  3. Step 3: Cross multiply
    16,380.33x = 24,566.84 × 7,946.56
  4. Step 4: Simplify right side
    16,380.33x = 195,221,868.07
  5. Step 5: Solve for x
    x = 195,221,868.07/16,380.33
  6. Step 6: Final answer
    x = 11,918.07

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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.