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Finding the Fourth Proportional to 29,777.76, 41,090.40 and 17,202.24

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Solution

The fourth proportional to 29,777.76, 41,090.40 and 17,202.24 is: 23,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.76 : 41,090.40 = 17,202.24 : x
  2. Step 2: Convert to fraction form
    29,777.76/41,090.40 = 17,202.24/x
  3. Step 3: Cross multiply
    29,777.76x = 41,090.40 × 17,202.24
  4. Step 4: Simplify right side
    29,777.76x = 706,846,922.50
  5. Step 5: Solve for x
    x = 706,846,922.50/29,777.76
  6. Step 6: Final answer
    x = 23,737.41

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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.