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Finding the Fourth Proportional to 16,371, 24,556.68 and 4,059

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Solution

The fourth proportional to 16,371, 24,556.68 and 4,059 is: 6,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371 : 24,556.68 = 4,059 : x
  2. Step 2: Convert to fraction form
    16,371/24,556.68 = 4,059/x
  3. Step 3: Cross multiply
    16,371x = 24,556.68 × 4,059
  4. Step 4: Simplify right side
    16,371x = 99,675,564.12
  5. Step 5: Solve for x
    x = 99,675,564.12/16,371
  6. Step 6: Final answer
    x = 6,088.54

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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.