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Finding the Fourth Proportional to 29,935.26, 41,310.94 and 16,507

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Solution

The fourth proportional to 29,935.26, 41,310.94 and 16,507 is: 22,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.26 : 41,310.94 = 16,507 : x
  2. Step 2: Convert to fraction form
    29,935.26/41,310.94 = 16,507/x
  3. Step 3: Cross multiply
    29,935.26x = 41,310.94 × 16,507
  4. Step 4: Simplify right side
    29,935.26x = 681,919,686.58
  5. Step 5: Solve for x
    x = 681,919,686.58/29,935.26
  6. Step 6: Final answer
    x = 22,779.82

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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.