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Finding the Fourth Proportional to 20,857.48, 28,777.62 and 13,409.80

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Solution

The fourth proportional to 20,857.48, 28,777.62 and 13,409.80 is: 18,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.48 : 28,777.62 = 13,409.80 : x
  2. Step 2: Convert to fraction form
    20,857.48/28,777.62 = 13,409.80/x
  3. Step 3: Cross multiply
    20,857.48x = 28,777.62 × 13,409.80
  4. Step 4: Simplify right side
    20,857.48x = 385,902,128.68
  5. Step 5: Solve for x
    x = 385,902,128.68/20,857.48
  6. Step 6: Final answer
    x = 18,501.86

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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.