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Finding the Fourth Proportional to 14,543.40, 21,809.70 and 5,179.80

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Solution

The fourth proportional to 14,543.40, 21,809.70 and 5,179.80 is: 7,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.40 : 21,809.70 = 5,179.80 : x
  2. Step 2: Convert to fraction form
    14,543.40/21,809.70 = 5,179.80/x
  3. Step 3: Cross multiply
    14,543.40x = 21,809.70 × 5,179.80
  4. Step 4: Simplify right side
    14,543.40x = 112,969,884.06
  5. Step 5: Solve for x
    x = 112,969,884.06/14,543.40
  6. Step 6: Final answer
    x = 7,767.78

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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.