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Finding the Fourth Proportional to 13,376.64, 18,461.92 and 8,072.24

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Solution

The fourth proportional to 13,376.64, 18,461.92 and 8,072.24 is: 11,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.64 : 18,461.92 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    13,376.64/18,461.92 = 8,072.24/x
  3. Step 3: Cross multiply
    13,376.64x = 18,461.92 × 8,072.24
  4. Step 4: Simplify right side
    13,376.64x = 149,029,049.10
  5. Step 5: Solve for x
    x = 149,029,049.10/13,376.64
  6. Step 6: Final answer
    x = 11,140.99

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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.