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Finding the Fourth Proportional to 27,504.34, 41,242.56 and 13,443.34

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Solution

The fourth proportional to 27,504.34, 41,242.56 and 13,443.34 is: 20,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.34 : 41,242.56 = 13,443.34 : x
  2. Step 2: Convert to fraction form
    27,504.34/41,242.56 = 13,443.34/x
  3. Step 3: Cross multiply
    27,504.34x = 41,242.56 × 13,443.34
  4. Step 4: Simplify right side
    27,504.34x = 554,437,756.55
  5. Step 5: Solve for x
    x = 554,437,756.55/27,504.34
  6. Step 6: Final answer
    x = 20,158.19

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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.