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Finding the Fourth Proportional to 16,143.81, 24,217.11 and 4,457.03

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Solution

The fourth proportional to 16,143.81, 24,217.11 and 4,457.03 is: 6,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.81 : 24,217.11 = 4,457.03 : x
  2. Step 2: Convert to fraction form
    16,143.81/24,217.11 = 4,457.03/x
  3. Step 3: Cross multiply
    16,143.81x = 24,217.11 × 4,457.03
  4. Step 4: Simplify right side
    16,143.81x = 107,936,385.78
  5. Step 5: Solve for x
    x = 107,936,385.78/16,143.81
  6. Step 6: Final answer
    x = 6,685.93

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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.