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Finding the Fourth Proportional to 13,433.60, 20,142.52 and 4,070.80

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Solution

The fourth proportional to 13,433.60, 20,142.52 and 4,070.80 is: 6,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.60 : 20,142.52 = 4,070.80 : x
  2. Step 2: Convert to fraction form
    13,433.60/20,142.52 = 4,070.80/x
  3. Step 3: Cross multiply
    13,433.60x = 20,142.52 × 4,070.80
  4. Step 4: Simplify right side
    13,433.60x = 81,996,170.42
  5. Step 5: Solve for x
    x = 81,996,170.42/13,433.60
  6. Step 6: Final answer
    x = 6,103.81

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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.