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Finding the Fourth Proportional to 13,657.80, 20,491.61 and 5,343.80

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Solution

The fourth proportional to 13,657.80, 20,491.61 and 5,343.80 is: 8,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.80 : 20,491.61 = 5,343.80 : x
  2. Step 2: Convert to fraction form
    13,657.80/20,491.61 = 5,343.80/x
  3. Step 3: Cross multiply
    13,657.80x = 20,491.61 × 5,343.80
  4. Step 4: Simplify right side
    13,657.80x = 109,502,936.34
  5. Step 5: Solve for x
    x = 109,502,936.34/13,657.80
  6. Step 6: Final answer
    x = 8,017.61

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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.