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Finding the Fourth Proportional to 16,584.36, 24,887.42 and 7,821.80

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Solution

The fourth proportional to 16,584.36, 24,887.42 and 7,821.80 is: 11,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.36 : 24,887.42 = 7,821.80 : x
  2. Step 2: Convert to fraction form
    16,584.36/24,887.42 = 7,821.80/x
  3. Step 3: Cross multiply
    16,584.36x = 24,887.42 × 7,821.80
  4. Step 4: Simplify right side
    16,584.36x = 194,664,421.76
  5. Step 5: Solve for x
    x = 194,664,421.76/16,584.36
  6. Step 6: Final answer
    x = 11,737.83

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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.