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Finding the Fourth Proportional to 29,853.14, 41,193.90 and 16,423.14

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Solution

The fourth proportional to 29,853.14, 41,193.90 and 16,423.14 is: 22,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.14 : 41,193.90 = 16,423.14 : x
  2. Step 2: Convert to fraction form
    29,853.14/41,193.90 = 16,423.14/x
  3. Step 3: Cross multiply
    29,853.14x = 41,193.90 × 16,423.14
  4. Step 4: Simplify right side
    29,853.14x = 676,533,186.85
  5. Step 5: Solve for x
    x = 676,533,186.85/29,853.14
  6. Step 6: Final answer
    x = 22,662.04

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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.