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Finding the Fourth Proportional to 16,768.22, 25,156 and 5,082.36

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Solution

The fourth proportional to 16,768.22, 25,156 and 5,082.36 is: 7,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.22 : 25,156 = 5,082.36 : x
  2. Step 2: Convert to fraction form
    16,768.22/25,156 = 5,082.36/x
  3. Step 3: Cross multiply
    16,768.22x = 25,156 × 5,082.36
  4. Step 4: Simplify right side
    16,768.22x = 127,851,848.16
  5. Step 5: Solve for x
    x = 127,851,848.16/16,768.22
  6. Step 6: Final answer
    x = 7,624.65

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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.