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Finding the Fourth Proportional to 13,832.85, 20,708.90 and 10,290.68

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Solution

The fourth proportional to 13,832.85, 20,708.90 and 10,290.68 is: 15,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.85 : 20,708.90 = 10,290.68 : x
  2. Step 2: Convert to fraction form
    13,832.85/20,708.90 = 10,290.68/x
  3. Step 3: Cross multiply
    13,832.85x = 20,708.90 × 10,290.68
  4. Step 4: Simplify right side
    13,832.85x = 213,108,585.55
  5. Step 5: Solve for x
    x = 213,108,585.55/13,832.85
  6. Step 6: Final answer
    x = 15,405.98

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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.