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Finding the Fourth Proportional to 13,820.70, 20,708.85 and 8,271.42

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Solution

The fourth proportional to 13,820.70, 20,708.85 and 8,271.42 is: 12,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.70 : 20,708.85 = 8,271.42 : x
  2. Step 2: Convert to fraction form
    13,820.70/20,708.85 = 8,271.42/x
  3. Step 3: Cross multiply
    13,820.70x = 20,708.85 × 8,271.42
  4. Step 4: Simplify right side
    13,820.70x = 171,291,596.07
  5. Step 5: Solve for x
    x = 171,291,596.07/13,820.70
  6. Step 6: Final answer
    x = 12,393.84

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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.