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Finding the Fourth Proportional to 29,810.77, 41,138.82 and 16,382.87

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Solution

The fourth proportional to 29,810.77, 41,138.82 and 16,382.87 is: 22,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.77 : 41,138.82 = 16,382.87 : x
  2. Step 2: Convert to fraction form
    29,810.77/41,138.82 = 16,382.87/x
  3. Step 3: Cross multiply
    29,810.77x = 41,138.82 × 16,382.87
  4. Step 4: Simplify right side
    29,810.77x = 673,971,888.59
  5. Step 5: Solve for x
    x = 673,971,888.59/29,810.77
  6. Step 6: Final answer
    x = 22,608.34

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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.