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Finding the Fourth Proportional to 13,234.80, 19,823.40 and 8,031.60

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Solution

The fourth proportional to 13,234.80, 19,823.40 and 8,031.60 is: 12,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.80 : 19,823.40 = 8,031.60 : x
  2. Step 2: Convert to fraction form
    13,234.80/19,823.40 = 8,031.60/x
  3. Step 3: Cross multiply
    13,234.80x = 19,823.40 × 8,031.60
  4. Step 4: Simplify right side
    13,234.80x = 159,213,619.44
  5. Step 5: Solve for x
    x = 159,213,619.44/13,234.80
  6. Step 6: Final answer
    x = 12,029.92

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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.