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Finding the Fourth Proportional to 13,449.34, 20,174.10 and 4,684.23

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Solution

The fourth proportional to 13,449.34, 20,174.10 and 4,684.23 is: 7,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.34 : 20,174.10 = 4,684.23 : x
  2. Step 2: Convert to fraction form
    13,449.34/20,174.10 = 4,684.23/x
  3. Step 3: Cross multiply
    13,449.34x = 20,174.10 × 4,684.23
  4. Step 4: Simplify right side
    13,449.34x = 94,500,023.57
  5. Step 5: Solve for x
    x = 94,500,023.57/13,449.34
  6. Step 6: Final answer
    x = 7,026.37

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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.