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Finding the Fourth Proportional to 16,964.74, 25,450.80 and 5,278.90

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Solution

The fourth proportional to 16,964.74, 25,450.80 and 5,278.90 is: 7,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.74 : 25,450.80 = 5,278.90 : x
  2. Step 2: Convert to fraction form
    16,964.74/25,450.80 = 5,278.90/x
  3. Step 3: Cross multiply
    16,964.74x = 25,450.80 × 5,278.90
  4. Step 4: Simplify right side
    16,964.74x = 134,352,228.12
  5. Step 5: Solve for x
    x = 134,352,228.12/16,964.74
  6. Step 6: Final answer
    x = 7,919.50

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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.