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Finding the Fourth Proportional to 16,063.45, 24,081.31 and 7,732

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Solution

The fourth proportional to 16,063.45, 24,081.31 and 7,732 is: 11,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,063.45 : 24,081.31 = 7,732 : x
  2. Step 2: Convert to fraction form
    16,063.45/24,081.31 = 7,732/x
  3. Step 3: Cross multiply
    16,063.45x = 24,081.31 × 7,732
  4. Step 4: Simplify right side
    16,063.45x = 186,196,688.92
  5. Step 5: Solve for x
    x = 186,196,688.92/16,063.45
  6. Step 6: Final answer
    x = 11,591.33

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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.