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Finding the Fourth Proportional to 13,027.48, 17,959.26 and 9,295

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Solution

The fourth proportional to 13,027.48, 17,959.26 and 9,295 is: 12,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.48 : 17,959.26 = 9,295 : x
  2. Step 2: Convert to fraction form
    13,027.48/17,959.26 = 9,295/x
  3. Step 3: Cross multiply
    13,027.48x = 17,959.26 × 9,295
  4. Step 4: Simplify right side
    13,027.48x = 166,931,321.70
  5. Step 5: Solve for x
    x = 166,931,321.70/13,027.48
  6. Step 6: Final answer
    x = 12,813.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.