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Finding the Fourth Proportional to 14,770.80, 22,169.16 and 8,204.40

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Solution

The fourth proportional to 14,770.80, 22,169.16 and 8,204.40 is: 12,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.80 : 22,169.16 = 8,204.40 : x
  2. Step 2: Convert to fraction form
    14,770.80/22,169.16 = 8,204.40/x
  3. Step 3: Cross multiply
    14,770.80x = 22,169.16 × 8,204.40
  4. Step 4: Simplify right side
    14,770.80x = 181,884,656.30
  5. Step 5: Solve for x
    x = 181,884,656.30/14,770.80
  6. Step 6: Final answer
    x = 12,313.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.