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Finding the Fourth Proportional to 16,150, 24,214.58 and 7,711.94

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Solution

The fourth proportional to 16,150, 24,214.58 and 7,711.94 is: 11,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150 : 24,214.58 = 7,711.94 : x
  2. Step 2: Convert to fraction form
    16,150/24,214.58 = 7,711.94/x
  3. Step 3: Cross multiply
    16,150x = 24,214.58 × 7,711.94
  4. Step 4: Simplify right side
    16,150x = 186,741,388.09
  5. Step 5: Solve for x
    x = 186,741,388.09/16,150
  6. Step 6: Final answer
    x = 11,562.93

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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.