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Finding the Fourth Proportional to 12,206.34, 16,841.92 and 7,170.30

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Solution

The fourth proportional to 12,206.34, 16,841.92 and 7,170.30 is: 9,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.34 : 16,841.92 = 7,170.30 : x
  2. Step 2: Convert to fraction form
    12,206.34/16,841.92 = 7,170.30/x
  3. Step 3: Cross multiply
    12,206.34x = 16,841.92 × 7,170.30
  4. Step 4: Simplify right side
    12,206.34x = 120,761,618.98
  5. Step 5: Solve for x
    x = 120,761,618.98/12,206.34
  6. Step 6: Final answer
    x = 9,893.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.