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Finding the Fourth Proportional to 22,693.98, 31,318.03 and 13,742.33

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Solution

The fourth proportional to 22,693.98, 31,318.03 and 13,742.33 is: 18,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693.98 : 31,318.03 = 13,742.33 : x
  2. Step 2: Convert to fraction form
    22,693.98/31,318.03 = 13,742.33/x
  3. Step 3: Cross multiply
    22,693.98x = 31,318.03 × 13,742.33
  4. Step 4: Simplify right side
    22,693.98x = 430,382,563.80
  5. Step 5: Solve for x
    x = 430,382,563.80/22,693.98
  6. Step 6: Final answer
    x = 18,964.61

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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.