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Finding the Fourth Proportional to 29,955.20, 41,346.40 and 17,384

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Solution

The fourth proportional to 29,955.20, 41,346.40 and 17,384 is: 23,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,955.20 : 41,346.40 = 17,384 : x
  2. Step 2: Convert to fraction form
    29,955.20/41,346.40 = 17,384/x
  3. Step 3: Cross multiply
    29,955.20x = 41,346.40 × 17,384
  4. Step 4: Simplify right side
    29,955.20x = 718,765,817.60
  5. Step 5: Solve for x
    x = 718,765,817.60/29,955.20
  6. Step 6: Final answer
    x = 23,994.69

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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.