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Finding the Fourth Proportional to 20,057.69, 27,684.25 and 13,343.60

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Solution

The fourth proportional to 20,057.69, 27,684.25 and 13,343.60 is: 18,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.69 : 27,684.25 = 13,343.60 : x
  2. Step 2: Convert to fraction form
    20,057.69/27,684.25 = 13,343.60/x
  3. Step 3: Cross multiply
    20,057.69x = 27,684.25 × 13,343.60
  4. Step 4: Simplify right side
    20,057.69x = 369,407,594.15
  5. Step 5: Solve for x
    x = 369,407,594.15/20,057.69
  6. Step 6: Final answer
    x = 18,417.25

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