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Finding the Fourth Proportional to 16,448.72, 24,673.20 and 4,762

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Solution

The fourth proportional to 16,448.72, 24,673.20 and 4,762 is: 7,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.72 : 24,673.20 = 4,762 : x
  2. Step 2: Convert to fraction form
    16,448.72/24,673.20 = 4,762/x
  3. Step 3: Cross multiply
    16,448.72x = 24,673.20 × 4,762
  4. Step 4: Simplify right side
    16,448.72x = 117,493,778.40
  5. Step 5: Solve for x
    x = 117,493,778.40/16,448.72
  6. Step 6: Final answer
    x = 7,143.03

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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.