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Finding the Fourth Proportional to 13,492.26, 18,606.78 and 8,946.96

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Solution

The fourth proportional to 13,492.26, 18,606.78 and 8,946.96 is: 12,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.26 : 18,606.78 = 8,946.96 : x
  2. Step 2: Convert to fraction form
    13,492.26/18,606.78 = 8,946.96/x
  3. Step 3: Cross multiply
    13,492.26x = 18,606.78 × 8,946.96
  4. Step 4: Simplify right side
    13,492.26x = 166,474,116.39
  5. Step 5: Solve for x
    x = 166,474,116.39/13,492.26
  6. Step 6: Final answer
    x = 12,338.49

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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.