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Finding the Fourth Proportional to 16,806.83, 25,193.55 and 8,031.50

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Solution

The fourth proportional to 16,806.83, 25,193.55 and 8,031.50 is: 12,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.83 : 25,193.55 = 8,031.50 : x
  2. Step 2: Convert to fraction form
    16,806.83/25,193.55 = 8,031.50/x
  3. Step 3: Cross multiply
    16,806.83x = 25,193.55 × 8,031.50
  4. Step 4: Simplify right side
    16,806.83x = 202,341,996.83
  5. Step 5: Solve for x
    x = 202,341,996.83/16,806.83
  6. Step 6: Final answer
    x = 12,039.27

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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.