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Finding the Fourth Proportional to 29,809.98, 41,137.68 and 16,381.17

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Solution

The fourth proportional to 29,809.98, 41,137.68 and 16,381.17 is: 22,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.98 : 41,137.68 = 16,381.17 : x
  2. Step 2: Convert to fraction form
    29,809.98/41,137.68 = 16,381.17/x
  3. Step 3: Cross multiply
    29,809.98x = 41,137.68 × 16,381.17
  4. Step 4: Simplify right side
    29,809.98x = 673,883,329.49
  5. Step 5: Solve for x
    x = 673,883,329.49/29,809.98
  6. Step 6: Final answer
    x = 22,605.96

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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.