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Finding the Fourth Proportional to 16,063.69, 24,096.75 and 4,971.50

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Solution

The fourth proportional to 16,063.69, 24,096.75 and 4,971.50 is: 7,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,063.69 : 24,096.75 = 4,971.50 : x
  2. Step 2: Convert to fraction form
    16,063.69/24,096.75 = 4,971.50/x
  3. Step 3: Cross multiply
    16,063.69x = 24,096.75 × 4,971.50
  4. Step 4: Simplify right side
    16,063.69x = 119,796,847.28
  5. Step 5: Solve for x
    x = 119,796,847.28/16,063.69
  6. Step 6: Final answer
    x = 7,457.62

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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.