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Finding the Fourth Proportional to 29,714.24, 41,003.76 and 17,138

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Solution

The fourth proportional to 29,714.24, 41,003.76 and 17,138 is: 23,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.24 : 41,003.76 = 17,138 : x
  2. Step 2: Convert to fraction form
    29,714.24/41,003.76 = 17,138/x
  3. Step 3: Cross multiply
    29,714.24x = 41,003.76 × 17,138
  4. Step 4: Simplify right side
    29,714.24x = 702,722,438.88
  5. Step 5: Solve for x
    x = 702,722,438.88/29,714.24
  6. Step 6: Final answer
    x = 23,649.35

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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.