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Finding the Fourth Proportional to 21,178.20, 31,757.70 and 8,026.20

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Solution

The fourth proportional to 21,178.20, 31,757.70 and 8,026.20 is: 12,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.20 : 31,757.70 = 8,026.20 : x
  2. Step 2: Convert to fraction form
    21,178.20/31,757.70 = 8,026.20/x
  3. Step 3: Cross multiply
    21,178.20x = 31,757.70 × 8,026.20
  4. Step 4: Simplify right side
    21,178.20x = 254,893,651.74
  5. Step 5: Solve for x
    x = 254,893,651.74/21,178.20
  6. Step 6: Final answer
    x = 12,035.66

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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.