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Finding the Fourth Proportional to 23,124.67, 31,912.13 and 12,514.30

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Solution

The fourth proportional to 23,124.67, 31,912.13 and 12,514.30 is: 17,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.67 : 31,912.13 = 12,514.30 : x
  2. Step 2: Convert to fraction form
    23,124.67/31,912.13 = 12,514.30/x
  3. Step 3: Cross multiply
    23,124.67x = 31,912.13 × 12,514.30
  4. Step 4: Simplify right side
    23,124.67x = 399,357,919.96
  5. Step 5: Solve for x
    x = 399,357,919.96/23,124.67
  6. Step 6: Final answer
    x = 17,269.78

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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.