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Finding the Fourth Proportional to 12,805.34, 19,194.94 and 8,128.80

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Solution

The fourth proportional to 12,805.34, 19,194.94 and 8,128.80 is: 12,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.34 : 19,194.94 = 8,128.80 : x
  2. Step 2: Convert to fraction form
    12,805.34/19,194.94 = 8,128.80/x
  3. Step 3: Cross multiply
    12,805.34x = 19,194.94 × 8,128.80
  4. Step 4: Simplify right side
    12,805.34x = 156,031,787.63
  5. Step 5: Solve for x
    x = 156,031,787.63/12,805.34
  6. Step 6: Final answer
    x = 12,184.90

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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.