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Finding the Fourth Proportional to 31,516.14, 43,493.16 and 17,369.88

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Solution

The fourth proportional to 31,516.14, 43,493.16 and 17,369.88 is: 23,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.14 : 43,493.16 = 17,369.88 : x
  2. Step 2: Convert to fraction form
    31,516.14/43,493.16 = 17,369.88/x
  3. Step 3: Cross multiply
    31,516.14x = 43,493.16 × 17,369.88
  4. Step 4: Simplify right side
    31,516.14x = 755,470,970.02
  5. Step 5: Solve for x
    x = 755,470,970.02/31,516.14
  6. Step 6: Final answer
    x = 23,970.92

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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.