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Finding the Fourth Proportional to 23,181.34, 31,990.25 and 12,571

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Solution

The fourth proportional to 23,181.34, 31,990.25 and 12,571 is: 17,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.34 : 31,990.25 = 12,571 : x
  2. Step 2: Convert to fraction form
    23,181.34/31,990.25 = 12,571/x
  3. Step 3: Cross multiply
    23,181.34x = 31,990.25 × 12,571
  4. Step 4: Simplify right side
    23,181.34x = 402,149,432.75
  5. Step 5: Solve for x
    x = 402,149,432.75/23,181.34
  6. Step 6: Final answer
    x = 17,347.98

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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.