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Finding the Fourth Proportional to 29,853.98, 41,197.91 and 16,424.46

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Solution

The fourth proportional to 29,853.98, 41,197.91 and 16,424.46 is: 22,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.98 : 41,197.91 = 16,424.46 : x
  2. Step 2: Convert to fraction form
    29,853.98/41,197.91 = 16,424.46/x
  3. Step 3: Cross multiply
    29,853.98x = 41,197.91 × 16,424.46
  4. Step 4: Simplify right side
    29,853.98x = 676,653,424.88
  5. Step 5: Solve for x
    x = 676,653,424.88/29,853.98
  6. Step 6: Final answer
    x = 22,665.43

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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.