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Finding the Fourth Proportional to 29,956.20, 41,347.78 and 17,385

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Solution

The fourth proportional to 29,956.20, 41,347.78 and 17,385 is: 23,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.20 : 41,347.78 = 17,385 : x
  2. Step 2: Convert to fraction form
    29,956.20/41,347.78 = 17,385/x
  3. Step 3: Cross multiply
    29,956.20x = 41,347.78 × 17,385
  4. Step 4: Simplify right side
    29,956.20x = 718,831,155.30
  5. Step 5: Solve for x
    x = 718,831,155.30/29,956.20
  6. Step 6: Final answer
    x = 23,996.07

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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.