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Finding the Fourth Proportional to 13,293.56, 19,942.74 and 5,503

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Solution

The fourth proportional to 13,293.56, 19,942.74 and 5,503 is: 8,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.56 : 19,942.74 = 5,503 : x
  2. Step 2: Convert to fraction form
    13,293.56/19,942.74 = 5,503/x
  3. Step 3: Cross multiply
    13,293.56x = 19,942.74 × 5,503
  4. Step 4: Simplify right side
    13,293.56x = 109,744,898.22
  5. Step 5: Solve for x
    x = 109,744,898.22/13,293.56
  6. Step 6: Final answer
    x = 8,255.49

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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.