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Finding the Fourth Proportional to 21,182.64, 31,754.31 and 8,026.21

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Solution

The fourth proportional to 21,182.64, 31,754.31 and 8,026.21 is: 12,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.64 : 31,754.31 = 8,026.21 : x
  2. Step 2: Convert to fraction form
    21,182.64/31,754.31 = 8,026.21/x
  3. Step 3: Cross multiply
    21,182.64x = 31,754.31 × 8,026.21
  4. Step 4: Simplify right side
    21,182.64x = 254,866,760.47
  5. Step 5: Solve for x
    x = 254,866,760.47/21,182.64
  6. Step 6: Final answer
    x = 12,031.87

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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.