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Finding the Fourth Proportional to 22,549.70, 31,118.46 and 12,986.09

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Solution

The fourth proportional to 22,549.70, 31,118.46 and 12,986.09 is: 17,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.70 : 31,118.46 = 12,986.09 : x
  2. Step 2: Convert to fraction form
    22,549.70/31,118.46 = 12,986.09/x
  3. Step 3: Cross multiply
    22,549.70x = 31,118.46 × 12,986.09
  4. Step 4: Simplify right side
    22,549.70x = 404,106,966.63
  5. Step 5: Solve for x
    x = 404,106,966.63/22,549.70
  6. Step 6: Final answer
    x = 17,920.73

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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.