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Finding the Fourth Proportional to 16,064.70, 24,098.00 and 6,204.03

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Solution

The fourth proportional to 16,064.70, 24,098.00 and 6,204.03 is: 9,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.70 : 24,098.00 = 6,204.03 : x
  2. Step 2: Convert to fraction form
    16,064.70/24,098.00 = 6,204.03/x
  3. Step 3: Cross multiply
    16,064.70x = 24,098.00 × 6,204.03
  4. Step 4: Simplify right side
    16,064.70x = 149,504,683.92
  5. Step 5: Solve for x
    x = 149,504,683.92/16,064.70
  6. Step 6: Final answer
    x = 9,306.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.