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Finding the Fourth Proportional to 14,543.08, 20,069.57 and 8,169.80

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Solution

The fourth proportional to 14,543.08, 20,069.57 and 8,169.80 is: 11,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.08 : 20,069.57 = 8,169.80 : x
  2. Step 2: Convert to fraction form
    14,543.08/20,069.57 = 8,169.80/x
  3. Step 3: Cross multiply
    14,543.08x = 20,069.57 × 8,169.80
  4. Step 4: Simplify right side
    14,543.08x = 163,964,293.06
  5. Step 5: Solve for x
    x = 163,964,293.06/14,543.08
  6. Step 6: Final answer
    x = 11,274.39

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Why These Related Problems?

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