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Finding the Fourth Proportional to 20,942.40, 31,410.30 and 17,407.22

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Solution

The fourth proportional to 20,942.40, 31,410.30 and 17,407.22 is: 26,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.40 : 31,410.30 = 17,407.22 : x
  2. Step 2: Convert to fraction form
    20,942.40/31,410.30 = 17,407.22/x
  3. Step 3: Cross multiply
    20,942.40x = 31,410.30 × 17,407.22
  4. Step 4: Simplify right side
    20,942.40x = 546,766,002.37
  5. Step 5: Solve for x
    x = 546,766,002.37/20,942.40
  6. Step 6: Final answer
    x = 26,108.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.