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Finding the Fourth Proportional to 31,311.69, 43,210.13 and 17,164.23

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Solution

The fourth proportional to 31,311.69, 43,210.13 and 17,164.23 is: 23,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.69 : 43,210.13 = 17,164.23 : x
  2. Step 2: Convert to fraction form
    31,311.69/43,210.13 = 17,164.23/x
  3. Step 3: Cross multiply
    31,311.69x = 43,210.13 × 17,164.23
  4. Step 4: Simplify right side
    31,311.69x = 741,668,609.65
  5. Step 5: Solve for x
    x = 741,668,609.65/31,311.69
  6. Step 6: Final answer
    x = 23,686.64

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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.