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Finding the Fourth Proportional to 17,509.28, 26,273.92 and 6,414.48

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Solution

The fourth proportional to 17,509.28, 26,273.92 and 6,414.48 is: 9,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.28 : 26,273.92 = 6,414.48 : x
  2. Step 2: Convert to fraction form
    17,509.28/26,273.92 = 6,414.48/x
  3. Step 3: Cross multiply
    17,509.28x = 26,273.92 × 6,414.48
  4. Step 4: Simplify right side
    17,509.28x = 168,533,534.36
  5. Step 5: Solve for x
    x = 168,533,534.36/17,509.28
  6. Step 6: Final answer
    x = 9,625.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.