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Finding the Fourth Proportional to 23,116.29, 31,904.39 and 13,424.23

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Solution

The fourth proportional to 23,116.29, 31,904.39 and 13,424.23 is: 18,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.29 : 31,904.39 = 13,424.23 : x
  2. Step 2: Convert to fraction form
    23,116.29/31,904.39 = 13,424.23/x
  3. Step 3: Cross multiply
    23,116.29x = 31,904.39 × 13,424.23
  4. Step 4: Simplify right side
    23,116.29x = 428,291,869.37
  5. Step 5: Solve for x
    x = 428,291,869.37/23,116.29
  6. Step 6: Final answer
    x = 18,527.71

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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.