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Finding the Fourth Proportional to 23,073.17, 31,840.96 and 12,462.80

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Solution

The fourth proportional to 23,073.17, 31,840.96 and 12,462.80 is: 17,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.17 : 31,840.96 = 12,462.80 : x
  2. Step 2: Convert to fraction form
    23,073.17/31,840.96 = 12,462.80/x
  3. Step 3: Cross multiply
    23,073.17x = 31,840.96 × 12,462.80
  4. Step 4: Simplify right side
    23,073.17x = 396,827,516.29
  5. Step 5: Solve for x
    x = 396,827,516.29/23,073.17
  6. Step 6: Final answer
    x = 17,198.66

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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.