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Finding the Fourth Proportional to 29,691.36, 40,974.09 and 16,263.46

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Solution

The fourth proportional to 29,691.36, 40,974.09 and 16,263.46 is: 22,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.36 : 40,974.09 = 16,263.46 : x
  2. Step 2: Convert to fraction form
    29,691.36/40,974.09 = 16,263.46/x
  3. Step 3: Cross multiply
    29,691.36x = 40,974.09 × 16,263.46
  4. Step 4: Simplify right side
    29,691.36x = 666,380,187.56
  5. Step 5: Solve for x
    x = 666,380,187.56/29,691.36
  6. Step 6: Final answer
    x = 22,443.58

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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.