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Finding the Fourth Proportional to 14,457.44, 19,951.30 and 8,169.82

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Solution

The fourth proportional to 14,457.44, 19,951.30 and 8,169.82 is: 11,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.44 : 19,951.30 = 8,169.82 : x
  2. Step 2: Convert to fraction form
    14,457.44/19,951.30 = 8,169.82/x
  3. Step 3: Cross multiply
    14,457.44x = 19,951.30 × 8,169.82
  4. Step 4: Simplify right side
    14,457.44x = 162,998,529.77
  5. Step 5: Solve for x
    x = 162,998,529.77/14,457.44
  6. Step 6: Final answer
    x = 11,274.37

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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.