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Finding the Fourth Proportional to 19,817.40, 29,682.90 and 15,400.20

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Solution

The fourth proportional to 19,817.40, 29,682.90 and 15,400.20 is: 23,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.40 : 29,682.90 = 15,400.20 : x
  2. Step 2: Convert to fraction form
    19,817.40/29,682.90 = 15,400.20/x
  3. Step 3: Cross multiply
    19,817.40x = 29,682.90 × 15,400.20
  4. Step 4: Simplify right side
    19,817.40x = 457,122,596.58
  5. Step 5: Solve for x
    x = 457,122,596.58/19,817.40
  6. Step 6: Final answer
    x = 23,066.73

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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.