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Finding the Fourth Proportional to 20,617, 28,451.46 and 11,664.32

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Solution

The fourth proportional to 20,617, 28,451.46 and 11,664.32 is: 16,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 28,451.46 = 11,664.32 : x
  2. Step 2: Convert to fraction form
    20,617/28,451.46 = 11,664.32/x
  3. Step 3: Cross multiply
    20,617x = 28,451.46 × 11,664.32
  4. Step 4: Simplify right side
    20,617x = 331,866,933.91
  5. Step 5: Solve for x
    x = 331,866,933.91/20,617
  6. Step 6: Final answer
    x = 16,096.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.