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Finding the Fourth Proportional to 22,489.84, 31,035.97 and 12,418.30

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Solution

The fourth proportional to 22,489.84, 31,035.97 and 12,418.30 is: 17,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.84 : 31,035.97 = 12,418.30 : x
  2. Step 2: Convert to fraction form
    22,489.84/31,035.97 = 12,418.30/x
  3. Step 3: Cross multiply
    22,489.84x = 31,035.97 × 12,418.30
  4. Step 4: Simplify right side
    22,489.84x = 385,413,883.45
  5. Step 5: Solve for x
    x = 385,413,883.45/22,489.84
  6. Step 6: Final answer
    x = 17,137.25

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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.