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Finding the Fourth Proportional to 16,744.50, 25,116.74 and 5,057.72

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Solution

The fourth proportional to 16,744.50, 25,116.74 and 5,057.72 is: 7,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.50 : 25,116.74 = 5,057.72 : x
  2. Step 2: Convert to fraction form
    16,744.50/25,116.74 = 5,057.72/x
  3. Step 3: Cross multiply
    16,744.50x = 25,116.74 × 5,057.72
  4. Step 4: Simplify right side
    16,744.50x = 127,033,325.29
  5. Step 5: Solve for x
    x = 127,033,325.29/16,744.50
  6. Step 6: Final answer
    x = 7,586.57

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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.