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Finding the Fourth Proportional to 16,484.28, 24,708.94 and 5,388

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Solution

The fourth proportional to 16,484.28, 24,708.94 and 5,388 is: 8,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.28 : 24,708.94 = 5,388 : x
  2. Step 2: Convert to fraction form
    16,484.28/24,708.94 = 5,388/x
  3. Step 3: Cross multiply
    16,484.28x = 24,708.94 × 5,388
  4. Step 4: Simplify right side
    16,484.28x = 133,131,768.72
  5. Step 5: Solve for x
    x = 133,131,768.72/16,484.28
  6. Step 6: Final answer
    x = 8,076.29

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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.