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Finding the Fourth Proportional to 22,523.97, 31,083.18 and 12,315.22

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Solution

The fourth proportional to 22,523.97, 31,083.18 and 12,315.22 is: 16,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.97 : 31,083.18 = 12,315.22 : x
  2. Step 2: Convert to fraction form
    22,523.97/31,083.18 = 12,315.22/x
  3. Step 3: Cross multiply
    22,523.97x = 31,083.18 × 12,315.22
  4. Step 4: Simplify right side
    22,523.97x = 382,796,076.11
  5. Step 5: Solve for x
    x = 382,796,076.11/22,523.97
  6. Step 6: Final answer
    x = 16,995.05

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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.