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Finding the Fourth Proportional to 29,698.14, 40,983.48 and 16,269.42

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Solution

The fourth proportional to 29,698.14, 40,983.48 and 16,269.42 is: 22,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.14 : 40,983.48 = 16,269.42 : x
  2. Step 2: Convert to fraction form
    29,698.14/40,983.48 = 16,269.42/x
  3. Step 3: Cross multiply
    29,698.14x = 40,983.48 × 16,269.42
  4. Step 4: Simplify right side
    29,698.14x = 666,777,449.18
  5. Step 5: Solve for x
    x = 666,777,449.18/29,698.14
  6. Step 6: Final answer
    x = 22,451.83

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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.