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Finding the Fourth Proportional to 23,157, 31,960.31 and 13,723.74

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Solution

The fourth proportional to 23,157, 31,960.31 and 13,723.74 is: 18,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 31,960.31 = 13,723.74 : x
  2. Step 2: Convert to fraction form
    23,157/31,960.31 = 13,723.74/x
  3. Step 3: Cross multiply
    23,157x = 31,960.31 × 13,723.74
  4. Step 4: Simplify right side
    23,157x = 438,614,916.14
  5. Step 5: Solve for x
    x = 438,614,916.14/23,157
  6. Step 6: Final answer
    x = 18,940.92

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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.