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Finding the Fourth Proportional to 14,942.34, 20,615.04 and 9,909

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Solution

The fourth proportional to 14,942.34, 20,615.04 and 9,909 is: 13,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.34 : 20,615.04 = 9,909 : x
  2. Step 2: Convert to fraction form
    14,942.34/20,615.04 = 9,909/x
  3. Step 3: Cross multiply
    14,942.34x = 20,615.04 × 9,909
  4. Step 4: Simplify right side
    14,942.34x = 204,274,431.36
  5. Step 5: Solve for x
    x = 204,274,431.36/14,942.34
  6. Step 6: Final answer
    x = 13,670.85

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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.