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Finding the Fourth Proportional to 23,009.28, 31,674.45 and 17,029.68

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Solution

The fourth proportional to 23,009.28, 31,674.45 and 17,029.68 is: 23,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.28 : 31,674.45 = 17,029.68 : x
  2. Step 2: Convert to fraction form
    23,009.28/31,674.45 = 17,029.68/x
  3. Step 3: Cross multiply
    23,009.28x = 31,674.45 × 17,029.68
  4. Step 4: Simplify right side
    23,009.28x = 539,405,747.68
  5. Step 5: Solve for x
    x = 539,405,747.68/23,009.28
  6. Step 6: Final answer
    x = 23,442.97

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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.