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Finding the Fourth Proportional to 22,496.34, 31,046.16 and 12,936.11

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Solution

The fourth proportional to 22,496.34, 31,046.16 and 12,936.11 is: 17,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.34 : 31,046.16 = 12,936.11 : x
  2. Step 2: Convert to fraction form
    22,496.34/31,046.16 = 12,936.11/x
  3. Step 3: Cross multiply
    22,496.34x = 31,046.16 × 12,936.11
  4. Step 4: Simplify right side
    22,496.34x = 401,616,463.22
  5. Step 5: Solve for x
    x = 401,616,463.22/22,496.34
  6. Step 6: Final answer
    x = 17,852.53

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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.