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Finding the Fourth Proportional to 31,328.64, 43,234.56 and 17,182.80

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Solution

The fourth proportional to 31,328.64, 43,234.56 and 17,182.80 is: 23,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.64 : 43,234.56 = 17,182.80 : x
  2. Step 2: Convert to fraction form
    31,328.64/43,234.56 = 17,182.80/x
  3. Step 3: Cross multiply
    31,328.64x = 43,234.56 × 17,182.80
  4. Step 4: Simplify right side
    31,328.64x = 742,890,797.57
  5. Step 5: Solve for x
    x = 742,890,797.57/31,328.64
  6. Step 6: Final answer
    x = 23,712.83

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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.