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Finding the Fourth Proportional to 13,428.60, 20,142.90 and 12,859.80

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Solution

The fourth proportional to 13,428.60, 20,142.90 and 12,859.80 is: 19,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.60 : 20,142.90 = 12,859.80 : x
  2. Step 2: Convert to fraction form
    13,428.60/20,142.90 = 12,859.80/x
  3. Step 3: Cross multiply
    13,428.60x = 20,142.90 × 12,859.80
  4. Step 4: Simplify right side
    13,428.60x = 259,033,665.42
  5. Step 5: Solve for x
    x = 259,033,665.42/13,428.60
  6. Step 6: Final answer
    x = 19,289.70

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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.