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Finding the Fourth Proportional to 29,678.73, 40,956.09 and 16,249.74

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Solution

The fourth proportional to 29,678.73, 40,956.09 and 16,249.74 is: 22,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.73 : 40,956.09 = 16,249.74 : x
  2. Step 2: Convert to fraction form
    29,678.73/40,956.09 = 16,249.74/x
  3. Step 3: Cross multiply
    29,678.73x = 40,956.09 × 16,249.74
  4. Step 4: Simplify right side
    29,678.73x = 665,525,813.92
  5. Step 5: Solve for x
    x = 665,525,813.92/29,678.73
  6. Step 6: Final answer
    x = 22,424.34

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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.