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Finding the Fourth Proportional to 16,744.64, 25,116.22 and 5,057.50

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Solution

The fourth proportional to 16,744.64, 25,116.22 and 5,057.50 is: 7,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.64 : 25,116.22 = 5,057.50 : x
  2. Step 2: Convert to fraction form
    16,744.64/25,116.22 = 5,057.50/x
  3. Step 3: Cross multiply
    16,744.64x = 25,116.22 × 5,057.50
  4. Step 4: Simplify right side
    16,744.64x = 127,025,282.65
  5. Step 5: Solve for x
    x = 127,025,282.65/16,744.64
  6. Step 6: Final answer
    x = 7,586.03

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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.