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Finding the Fourth Proportional to 13,156.96, 18,161.64 and 8,122

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Solution

The fourth proportional to 13,156.96, 18,161.64 and 8,122 is: 11,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.96 : 18,161.64 = 8,122 : x
  2. Step 2: Convert to fraction form
    13,156.96/18,161.64 = 8,122/x
  3. Step 3: Cross multiply
    13,156.96x = 18,161.64 × 8,122
  4. Step 4: Simplify right side
    13,156.96x = 147,508,840.08
  5. Step 5: Solve for x
    x = 147,508,840.08/13,156.96
  6. Step 6: Final answer
    x = 11,211.47

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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.