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Finding the Fourth Proportional to 19,682.10, 29,523.15 and 19,422.90

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Solution

The fourth proportional to 19,682.10, 29,523.15 and 19,422.90 is: 29,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.10 : 29,523.15 = 19,422.90 : x
  2. Step 2: Convert to fraction form
    19,682.10/29,523.15 = 19,422.90/x
  3. Step 3: Cross multiply
    19,682.10x = 29,523.15 × 19,422.90
  4. Step 4: Simplify right side
    19,682.10x = 573,425,190.14
  5. Step 5: Solve for x
    x = 573,425,190.14/19,682.10
  6. Step 6: Final answer
    x = 29,134.35

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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.