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Finding the Fourth Proportional to 10,806.22, 16,181.29 and 9,256.17

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Solution

The fourth proportional to 10,806.22, 16,181.29 and 9,256.17 is: 13,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.22 : 16,181.29 = 9,256.17 : x
  2. Step 2: Convert to fraction form
    10,806.22/16,181.29 = 9,256.17/x
  3. Step 3: Cross multiply
    10,806.22x = 16,181.29 × 9,256.17
  4. Step 4: Simplify right side
    10,806.22x = 149,776,771.06
  5. Step 5: Solve for x
    x = 149,776,771.06/10,806.22
  6. Step 6: Final answer
    x = 13,860.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.