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Finding the Fourth Proportional to 13,227.60, 19,841.40 and 8,302.80

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Solution

The fourth proportional to 13,227.60, 19,841.40 and 8,302.80 is: 12,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.60 : 19,841.40 = 8,302.80 : x
  2. Step 2: Convert to fraction form
    13,227.60/19,841.40 = 8,302.80/x
  3. Step 3: Cross multiply
    13,227.60x = 19,841.40 × 8,302.80
  4. Step 4: Simplify right side
    13,227.60x = 164,739,175.92
  5. Step 5: Solve for x
    x = 164,739,175.92/13,227.60
  6. Step 6: Final answer
    x = 12,454.20

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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.