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Finding the Fourth Proportional to 17,340.96, 26,014 and 5,027.36

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Solution

The fourth proportional to 17,340.96, 26,014 and 5,027.36 is: 7,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.96 : 26,014 = 5,027.36 : x
  2. Step 2: Convert to fraction form
    17,340.96/26,014 = 5,027.36/x
  3. Step 3: Cross multiply
    17,340.96x = 26,014 × 5,027.36
  4. Step 4: Simplify right side
    17,340.96x = 130,781,743.04
  5. Step 5: Solve for x
    x = 130,781,743.04/17,340.96
  6. Step 6: Final answer
    x = 7,541.78

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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.