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Finding the Fourth Proportional to 23,124.85, 31,912.39 and 12,514.48

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Solution

The fourth proportional to 23,124.85, 31,912.39 and 12,514.48 is: 17,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.85 : 31,912.39 = 12,514.48 : x
  2. Step 2: Convert to fraction form
    23,124.85/31,912.39 = 12,514.48/x
  3. Step 3: Cross multiply
    23,124.85x = 31,912.39 × 12,514.48
  4. Step 4: Simplify right side
    23,124.85x = 399,366,966.41
  5. Step 5: Solve for x
    x = 399,366,966.41/23,124.85
  6. Step 6: Final answer
    x = 17,270.03

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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.