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Finding the Fourth Proportional to 12,478.34, 17,238.90 and 8,181.64

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Solution

The fourth proportional to 12,478.34, 17,238.90 and 8,181.64 is: 11,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.34 : 17,238.90 = 8,181.64 : x
  2. Step 2: Convert to fraction form
    12,478.34/17,238.90 = 8,181.64/x
  3. Step 3: Cross multiply
    12,478.34x = 17,238.90 × 8,181.64
  4. Step 4: Simplify right side
    12,478.34x = 141,042,473.80
  5. Step 5: Solve for x
    x = 141,042,473.80/12,478.34
  6. Step 6: Final answer
    x = 11,302.98

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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.