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Finding the Fourth Proportional to 14,451, 19,942.92 and 8,164.32

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Solution

The fourth proportional to 14,451, 19,942.92 and 8,164.32 is: 11,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451 : 19,942.92 = 8,164.32 : x
  2. Step 2: Convert to fraction form
    14,451/19,942.92 = 8,164.32/x
  3. Step 3: Cross multiply
    14,451x = 19,942.92 × 8,164.32
  4. Step 4: Simplify right side
    14,451x = 162,820,380.61
  5. Step 5: Solve for x
    x = 162,820,380.61/14,451
  6. Step 6: Final answer
    x = 11,267.07

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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.