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Finding the Fourth Proportional to 23,125.34, 31,912.97 and 12,514.98

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Solution

The fourth proportional to 23,125.34, 31,912.97 and 12,514.98 is: 17,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.34 : 31,912.97 = 12,514.98 : x
  2. Step 2: Convert to fraction form
    23,125.34/31,912.97 = 12,514.98/x
  3. Step 3: Cross multiply
    23,125.34x = 31,912.97 × 12,514.98
  4. Step 4: Simplify right side
    23,125.34x = 399,390,181.29
  5. Step 5: Solve for x
    x = 399,390,181.29/23,125.34
  6. Step 6: Final answer
    x = 17,270.67

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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.