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Finding the Fourth Proportional to 22,722, 31,356.36 and 12,786

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Solution

The fourth proportional to 22,722, 31,356.36 and 12,786 is: 17,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722 : 31,356.36 = 12,786 : x
  2. Step 2: Convert to fraction form
    22,722/31,356.36 = 12,786/x
  3. Step 3: Cross multiply
    22,722x = 31,356.36 × 12,786
  4. Step 4: Simplify right side
    22,722x = 400,922,418.96
  5. Step 5: Solve for x
    x = 400,922,418.96/22,722
  6. Step 6: Final answer
    x = 17,644.68

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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.