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Finding the Fourth Proportional to 22,943.35, 31,662.19 and 12,734.11

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Solution

The fourth proportional to 22,943.35, 31,662.19 and 12,734.11 is: 17,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.35 : 31,662.19 = 12,734.11 : x
  2. Step 2: Convert to fraction form
    22,943.35/31,662.19 = 12,734.11/x
  3. Step 3: Cross multiply
    22,943.35x = 31,662.19 × 12,734.11
  4. Step 4: Simplify right side
    22,943.35x = 403,189,810.30
  5. Step 5: Solve for x
    x = 403,189,810.30/22,943.35
  6. Step 6: Final answer
    x = 17,573.28

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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.