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Finding the Fourth Proportional to 22,489.23, 31,034.99 and 12,418.31

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Solution

The fourth proportional to 22,489.23, 31,034.99 and 12,418.31 is: 17,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.23 : 31,034.99 = 12,418.31 : x
  2. Step 2: Convert to fraction form
    22,489.23/31,034.99 = 12,418.31/x
  3. Step 3: Cross multiply
    22,489.23x = 31,034.99 × 12,418.31
  4. Step 4: Simplify right side
    22,489.23x = 385,401,909.40
  5. Step 5: Solve for x
    x = 385,401,909.40/22,489.23
  6. Step 6: Final answer
    x = 17,137.18

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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.