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Finding the Fourth Proportional to 29,811.57, 41,139.14 and 16,382.82

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Solution

The fourth proportional to 29,811.57, 41,139.14 and 16,382.82 is: 22,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.57 : 41,139.14 = 16,382.82 : x
  2. Step 2: Convert to fraction form
    29,811.57/41,139.14 = 16,382.82/x
  3. Step 3: Cross multiply
    29,811.57x = 41,139.14 × 16,382.82
  4. Step 4: Simplify right side
    29,811.57x = 673,975,197.93
  5. Step 5: Solve for x
    x = 673,975,197.93/29,811.57
  6. Step 6: Final answer
    x = 22,607.84

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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.