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Finding the Fourth Proportional to 17,328.96, 25,996 and 5,015.36

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Solution

The fourth proportional to 17,328.96, 25,996 and 5,015.36 is: 7,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328.96 : 25,996 = 5,015.36 : x
  2. Step 2: Convert to fraction form
    17,328.96/25,996 = 5,015.36/x
  3. Step 3: Cross multiply
    17,328.96x = 25,996 × 5,015.36
  4. Step 4: Simplify right side
    17,328.96x = 130,379,298.56
  5. Step 5: Solve for x
    x = 130,379,298.56/17,328.96
  6. Step 6: Final answer
    x = 7,523.78

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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.