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Finding the Fourth Proportional to 13,541.92, 18,684.48 and 8,506.96

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Solution

The fourth proportional to 13,541.92, 18,684.48 and 8,506.96 is: 11,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.92 : 18,684.48 = 8,506.96 : x
  2. Step 2: Convert to fraction form
    13,541.92/18,684.48 = 8,506.96/x
  3. Step 3: Cross multiply
    13,541.92x = 18,684.48 × 8,506.96
  4. Step 4: Simplify right side
    13,541.92x = 158,948,123.98
  5. Step 5: Solve for x
    x = 158,948,123.98/13,541.92
  6. Step 6: Final answer
    x = 11,737.49

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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.