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Finding the Fourth Proportional to 13,466.19, 20,181.46 and 10,334.22

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Solution

The fourth proportional to 13,466.19, 20,181.46 and 10,334.22 is: 15,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.19 : 20,181.46 = 10,334.22 : x
  2. Step 2: Convert to fraction form
    13,466.19/20,181.46 = 10,334.22/x
  3. Step 3: Cross multiply
    13,466.19x = 20,181.46 × 10,334.22
  4. Step 4: Simplify right side
    13,466.19x = 208,559,647.56
  5. Step 5: Solve for x
    x = 208,559,647.56/13,466.19
  6. Step 6: Final answer
    x = 15,487.65

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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.