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Finding the Fourth Proportional to 12,431.46, 18,619.85 and 9,636.20

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Solution

The fourth proportional to 12,431.46, 18,619.85 and 9,636.20 is: 14,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.46 : 18,619.85 = 9,636.20 : x
  2. Step 2: Convert to fraction form
    12,431.46/18,619.85 = 9,636.20/x
  3. Step 3: Cross multiply
    12,431.46x = 18,619.85 × 9,636.20
  4. Step 4: Simplify right side
    12,431.46x = 179,424,457.29
  5. Step 5: Solve for x
    x = 179,424,457.29/12,431.46
  6. Step 6: Final answer
    x = 14,433.10

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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.