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Finding the Fourth Proportional to 39,871.68, 59,814.72 and 16,500

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Solution

The fourth proportional to 39,871.68, 59,814.72 and 16,500 is: 24,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,871.68 : 59,814.72 = 16,500 : x
  2. Step 2: Convert to fraction form
    39,871.68/59,814.72 = 16,500/x
  3. Step 3: Cross multiply
    39,871.68x = 59,814.72 × 16,500
  4. Step 4: Simplify right side
    39,871.68x = 986,942,880
  5. Step 5: Solve for x
    x = 986,942,880/39,871.68
  6. Step 6: Final answer
    x = 24,752.98

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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.