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Finding the Fourth Proportional to 16,828.68, 25,239.60 and 8,500.08

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Solution

The fourth proportional to 16,828.68, 25,239.60 and 8,500.08 is: 12,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.68 : 25,239.60 = 8,500.08 : x
  2. Step 2: Convert to fraction form
    16,828.68/25,239.60 = 8,500.08/x
  3. Step 3: Cross multiply
    16,828.68x = 25,239.60 × 8,500.08
  4. Step 4: Simplify right side
    16,828.68x = 214,538,619.17
  5. Step 5: Solve for x
    x = 214,538,619.17/16,828.68
  6. Step 6: Final answer
    x = 12,748.39

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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.