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Finding the Fourth Proportional to 23,124.91, 31,912.37 and 12,514.54

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Solution

The fourth proportional to 23,124.91, 31,912.37 and 12,514.54 is: 17,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.91 : 31,912.37 = 12,514.54 : x
  2. Step 2: Convert to fraction form
    23,124.91/31,912.37 = 12,514.54/x
  3. Step 3: Cross multiply
    23,124.91x = 31,912.37 × 12,514.54
  4. Step 4: Simplify right side
    23,124.91x = 399,368,488.51
  5. Step 5: Solve for x
    x = 399,368,488.51/23,124.91
  6. Step 6: Final answer
    x = 17,270.06

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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.