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Finding the Fourth Proportional to 14,565.90, 21,846.24 and 3,892.44

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Solution

The fourth proportional to 14,565.90, 21,846.24 and 3,892.44 is: 5,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.90 : 21,846.24 = 3,892.44 : x
  2. Step 2: Convert to fraction form
    14,565.90/21,846.24 = 3,892.44/x
  3. Step 3: Cross multiply
    14,565.90x = 21,846.24 × 3,892.44
  4. Step 4: Simplify right side
    14,565.90x = 85,035,178.43
  5. Step 5: Solve for x
    x = 85,035,178.43/14,565.90
  6. Step 6: Final answer
    x = 5,837.96

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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.