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Finding the Fourth Proportional to 29,296, 40,427.30 and 17,194.82

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Solution

The fourth proportional to 29,296, 40,427.30 and 17,194.82 is: 23,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296 : 40,427.30 = 17,194.82 : x
  2. Step 2: Convert to fraction form
    29,296/40,427.30 = 17,194.82/x
  3. Step 3: Cross multiply
    29,296x = 40,427.30 × 17,194.82
  4. Step 4: Simplify right side
    29,296x = 695,140,146.59
  5. Step 5: Solve for x
    x = 695,140,146.59/29,296
  6. Step 6: Final answer
    x = 23,728.16

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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.