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Finding the Fourth Proportional to 13,823.98, 20,744.57 and 5,615.98

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Solution

The fourth proportional to 13,823.98, 20,744.57 and 5,615.98 is: 8,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.98 : 20,744.57 = 5,615.98 : x
  2. Step 2: Convert to fraction form
    13,823.98/20,744.57 = 5,615.98/x
  3. Step 3: Cross multiply
    13,823.98x = 20,744.57 × 5,615.98
  4. Step 4: Simplify right side
    13,823.98x = 116,501,090.23
  5. Step 5: Solve for x
    x = 116,501,090.23/13,823.98
  6. Step 6: Final answer
    x = 8,427.46

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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.