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Finding the Fourth Proportional to 29,434.26, 40,619.68 and 16,859

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Solution

The fourth proportional to 29,434.26, 40,619.68 and 16,859 is: 23,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,434.26 : 40,619.68 = 16,859 : x
  2. Step 2: Convert to fraction form
    29,434.26/40,619.68 = 16,859/x
  3. Step 3: Cross multiply
    29,434.26x = 40,619.68 × 16,859
  4. Step 4: Simplify right side
    29,434.26x = 684,807,185.12
  5. Step 5: Solve for x
    x = 684,807,185.12/29,434.26
  6. Step 6: Final answer
    x = 23,265.65

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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.