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Finding the Fourth Proportional to 16,814.68, 25,220.46 and 7,927.96

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Solution

The fourth proportional to 16,814.68, 25,220.46 and 7,927.96 is: 11,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.68 : 25,220.46 = 7,927.96 : x
  2. Step 2: Convert to fraction form
    16,814.68/25,220.46 = 7,927.96/x
  3. Step 3: Cross multiply
    16,814.68x = 25,220.46 × 7,927.96
  4. Step 4: Simplify right side
    16,814.68x = 199,946,798.06
  5. Step 5: Solve for x
    x = 199,946,798.06/16,814.68
  6. Step 6: Final answer
    x = 11,891.20

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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.