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Finding the Fourth Proportional to 13,749.34, 20,623.92 and 3,361

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Solution

The fourth proportional to 13,749.34, 20,623.92 and 3,361 is: 5,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.34 : 20,623.92 = 3,361 : x
  2. Step 2: Convert to fraction form
    13,749.34/20,623.92 = 3,361/x
  3. Step 3: Cross multiply
    13,749.34x = 20,623.92 × 3,361
  4. Step 4: Simplify right side
    13,749.34x = 69,316,995.12
  5. Step 5: Solve for x
    x = 69,316,995.12/13,749.34
  6. Step 6: Final answer
    x = 5,041.48

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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.