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Finding the Fourth Proportional to 29,814.87, 41,142.53 and 16,385.84

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Solution

The fourth proportional to 29,814.87, 41,142.53 and 16,385.84 is: 22,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.87 : 41,142.53 = 16,385.84 : x
  2. Step 2: Convert to fraction form
    29,814.87/41,142.53 = 16,385.84/x
  3. Step 3: Cross multiply
    29,814.87x = 41,142.53 × 16,385.84
  4. Step 4: Simplify right side
    29,814.87x = 674,154,626.13
  5. Step 5: Solve for x
    x = 674,154,626.13/29,814.87
  6. Step 6: Final answer
    x = 22,611.36

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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.