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Finding the Fourth Proportional to 29,193.26, 40,286.74 and 16,618

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Solution

The fourth proportional to 29,193.26, 40,286.74 and 16,618 is: 22,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.26 : 40,286.74 = 16,618 : x
  2. Step 2: Convert to fraction form
    29,193.26/40,286.74 = 16,618/x
  3. Step 3: Cross multiply
    29,193.26x = 40,286.74 × 16,618
  4. Step 4: Simplify right side
    29,193.26x = 669,485,045.32
  5. Step 5: Solve for x
    x = 669,485,045.32/29,193.26
  6. Step 6: Final answer
    x = 22,932.86

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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.