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Finding the Fourth Proportional to 12,274.46, 18,421.02 and 8,996.12

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Solution

The fourth proportional to 12,274.46, 18,421.02 and 8,996.12 is: 13,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.46 : 18,421.02 = 8,996.12 : x
  2. Step 2: Convert to fraction form
    12,274.46/18,421.02 = 8,996.12/x
  3. Step 3: Cross multiply
    12,274.46x = 18,421.02 × 8,996.12
  4. Step 4: Simplify right side
    12,274.46x = 165,717,706.44
  5. Step 5: Solve for x
    x = 165,717,706.44/12,274.46
  6. Step 6: Final answer
    x = 13,501.02

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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.