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Finding the Fourth Proportional to 23,142.20, 34,664.70 and 19,254.20

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Solution

The fourth proportional to 23,142.20, 34,664.70 and 19,254.20 is: 28,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.20 : 34,664.70 = 19,254.20 : x
  2. Step 2: Convert to fraction form
    23,142.20/34,664.70 = 19,254.20/x
  3. Step 3: Cross multiply
    23,142.20x = 34,664.70 × 19,254.20
  4. Step 4: Simplify right side
    23,142.20x = 667,441,066.74
  5. Step 5: Solve for x
    x = 667,441,066.74/23,142.20
  6. Step 6: Final answer
    x = 28,840.87

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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.