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Finding the Fourth Proportional to 12,433.44, 18,631.89 and 9,807.24

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Solution

The fourth proportional to 12,433.44, 18,631.89 and 9,807.24 is: 14,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.44 : 18,631.89 = 9,807.24 : x
  2. Step 2: Convert to fraction form
    12,433.44/18,631.89 = 9,807.24/x
  3. Step 3: Cross multiply
    12,433.44x = 18,631.89 × 9,807.24
  4. Step 4: Simplify right side
    12,433.44x = 182,727,416.88
  5. Step 5: Solve for x
    x = 182,727,416.88/12,433.44
  6. Step 6: Final answer
    x = 14,696.45

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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.