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Finding the Fourth Proportional to 20,686.20, 31,029.30 and 19,714.20

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Solution

The fourth proportional to 20,686.20, 31,029.30 and 19,714.20 is: 29,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.20 : 31,029.30 = 19,714.20 : x
  2. Step 2: Convert to fraction form
    20,686.20/31,029.30 = 19,714.20/x
  3. Step 3: Cross multiply
    20,686.20x = 31,029.30 × 19,714.20
  4. Step 4: Simplify right side
    20,686.20x = 611,717,826.06
  5. Step 5: Solve for x
    x = 611,717,826.06/20,686.20
  6. Step 6: Final answer
    x = 29,571.30

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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.