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Finding the Fourth Proportional to 13,543.60, 20,283.72 and 11,714.80

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Solution

The fourth proportional to 13,543.60, 20,283.72 and 11,714.80 is: 17,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.60 : 20,283.72 = 11,714.80 : x
  2. Step 2: Convert to fraction form
    13,543.60/20,283.72 = 11,714.80/x
  3. Step 3: Cross multiply
    13,543.60x = 20,283.72 × 11,714.80
  4. Step 4: Simplify right side
    13,543.60x = 237,619,723.06
  5. Step 5: Solve for x
    x = 237,619,723.06/13,543.60
  6. Step 6: Final answer
    x = 17,544.80

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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.