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Finding the Fourth Proportional to 16,803.83, 25,189.05 and 8,028.50

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Solution

The fourth proportional to 16,803.83, 25,189.05 and 8,028.50 is: 12,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.83 : 25,189.05 = 8,028.50 : x
  2. Step 2: Convert to fraction form
    16,803.83/25,189.05 = 8,028.50/x
  3. Step 3: Cross multiply
    16,803.83x = 25,189.05 × 8,028.50
  4. Step 4: Simplify right side
    16,803.83x = 202,230,287.93
  5. Step 5: Solve for x
    x = 202,230,287.93/16,803.83
  6. Step 6: Final answer
    x = 12,034.77

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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.