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Finding the Fourth Proportional to 16,821, 25,243.02 and 5,877

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Solution

The fourth proportional to 16,821, 25,243.02 and 5,877 is: 8,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821 : 25,243.02 = 5,877 : x
  2. Step 2: Convert to fraction form
    16,821/25,243.02 = 5,877/x
  3. Step 3: Cross multiply
    16,821x = 25,243.02 × 5,877
  4. Step 4: Simplify right side
    16,821x = 148,353,228.54
  5. Step 5: Solve for x
    x = 148,353,228.54/16,821
  6. Step 6: Final answer
    x = 8,819.52

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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.