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Finding the Fourth Proportional to 16,803.44, 25,198.08 and 5,114

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Solution

The fourth proportional to 16,803.44, 25,198.08 and 5,114 is: 7,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.44 : 25,198.08 = 5,114 : x
  2. Step 2: Convert to fraction form
    16,803.44/25,198.08 = 5,114/x
  3. Step 3: Cross multiply
    16,803.44x = 25,198.08 × 5,114
  4. Step 4: Simplify right side
    16,803.44x = 128,862,981.12
  5. Step 5: Solve for x
    x = 128,862,981.12/16,803.44
  6. Step 6: Final answer
    x = 7,668.85

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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.