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Finding the Fourth Proportional to 14,543.94, 20,068.45 and 8,169.31

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Solution

The fourth proportional to 14,543.94, 20,068.45 and 8,169.31 is: 11,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.94 : 20,068.45 = 8,169.31 : x
  2. Step 2: Convert to fraction form
    14,543.94/20,068.45 = 8,169.31/x
  3. Step 3: Cross multiply
    14,543.94x = 20,068.45 × 8,169.31
  4. Step 4: Simplify right side
    14,543.94x = 163,945,389.27
  5. Step 5: Solve for x
    x = 163,945,389.27/14,543.94
  6. Step 6: Final answer
    x = 11,272.42

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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.