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Finding the Fourth Proportional to 22,985.22, 31,722.81 and 12,914.44

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Solution

The fourth proportional to 22,985.22, 31,722.81 and 12,914.44 is: 17,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.22 : 31,722.81 = 12,914.44 : x
  2. Step 2: Convert to fraction form
    22,985.22/31,722.81 = 12,914.44/x
  3. Step 3: Cross multiply
    22,985.22x = 31,722.81 × 12,914.44
  4. Step 4: Simplify right side
    22,985.22x = 409,682,377.08
  5. Step 5: Solve for x
    x = 409,682,377.08/22,985.22
  6. Step 6: Final answer
    x = 17,823.73

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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.