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Finding the Fourth Proportional to 29,983, 41,380.19 and 17,407.75

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Solution

The fourth proportional to 29,983, 41,380.19 and 17,407.75 is: 24,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983 : 41,380.19 = 17,407.75 : x
  2. Step 2: Convert to fraction form
    29,983/41,380.19 = 17,407.75/x
  3. Step 3: Cross multiply
    29,983x = 41,380.19 × 17,407.75
  4. Step 4: Simplify right side
    29,983x = 720,335,915.43
  5. Step 5: Solve for x
    x = 720,335,915.43/29,983
  6. Step 6: Final answer
    x = 24,024.81

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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.