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Finding the Fourth Proportional to 13,166.16, 18,178.81 and 8,137.27

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Solution

The fourth proportional to 13,166.16, 18,178.81 and 8,137.27 is: 11,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.16 : 18,178.81 = 8,137.27 : x
  2. Step 2: Convert to fraction form
    13,166.16/18,178.81 = 8,137.27/x
  3. Step 3: Cross multiply
    13,166.16x = 18,178.81 × 8,137.27
  4. Step 4: Simplify right side
    13,166.16x = 147,925,941.80
  5. Step 5: Solve for x
    x = 147,925,941.80/13,166.16
  6. Step 6: Final answer
    x = 11,235.32

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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.