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Finding the Fourth Proportional to 23,096.79, 31,873.91 and 13,534.38

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Solution

The fourth proportional to 23,096.79, 31,873.91 and 13,534.38 is: 18,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.79 : 31,873.91 = 13,534.38 : x
  2. Step 2: Convert to fraction form
    23,096.79/31,873.91 = 13,534.38/x
  3. Step 3: Cross multiply
    23,096.79x = 31,873.91 × 13,534.38
  4. Step 4: Simplify right side
    23,096.79x = 431,393,542.35
  5. Step 5: Solve for x
    x = 431,393,542.35/23,096.79
  6. Step 6: Final answer
    x = 18,677.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.